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272734056 = 233271921499
BaseRepresentation
bin10000010000011…
…001011101101000
3201000012022210100
4100100121131220
51024304442211
643021345400
76521126010
oct2020313550
9630168710
10272734056
1112aa51151
1277408260
13446723ca
1428316c40
1518e25156
hex10419768

272734056 has 144 divisors (see below), whose sum is σ = 891540000. Its totient is φ = 73773504.

The previous prime is 272734051. The next prime is 272734061. The reversal of 272734056 is 650437272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272734051) and next prime (272734061).

It is a super-2 number, since 2×2727340562 = 148767730604422272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 272734056.

It is not an unprimeable number, because it can be changed into a prime (272734051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181195 + ... + 182693.

It is an arithmetic number, because the mean of its divisors is an integer number (6191250).

Almost surely, 2272734056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272734056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770000).

272734056 is an abundant number, since it is smaller than the sum of its proper divisors (618805944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272734056 is a wasteful number, since it uses less digits than its factorization.

272734056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 272734056 is about 16514.6618493992. The cubic root of 272734056 is about 648.5046936951.

It can be divided in two parts, 27273 and 4056, that added together give a square (31329 = 1772).

The spelling of 272734056 in words is "two hundred seventy-two million, seven hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 361 399 456 504 532 684 722 798 1064 1083 1197 1368 1444 1499 1596 2166 2394 2527 2888 2998 3192 3249 4332 4497 4788 5054 5996 6498 7581 8664 8994 9576 10108 10493 11992 12996 13491 15162 17988 20216 20986 22743 25992 26982 28481 30324 31479 35976 41972 45486 53964 56962 60648 62958 83944 85443 90972 94437 107928 113924 125916 170886 181944 188874 199367 227848 251832 256329 341772 377748 398734 512658 541139 598101 683544 755496 797468 1025316 1082278 1196202 1594936 1623417 1794303 2050632 2164556 2392404 3246834 3588606 3787973 4329112 4784808 4870251 6493668 7177212 7575946 9740502 11363919 12987336 14354424 15151892 19481004 22727838 30303784 34091757 38962008 45455676 68183514 90911352 136367028 272734056