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272029104 = 24341712347
BaseRepresentation
bin10000001101101…
…101010110110000
3200221212111210000
4100031231112300
51024114412404
642554310000
76512131524
oct2015552660
9627774700
10272029104
1112a60a546
1277128300
1344486589
14281b1d84
1518d36339
hex1036d5b0

272029104 has 100 divisors (see below), whose sum is σ = 833712264. Its totient is φ = 85335552.

The previous prime is 272029049. The next prime is 272029129. The reversal of 272029104 is 401920272.

272029104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15859 + ... + 28205.

Almost surely, 2272029104 is an apocalyptic number.

272029104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272029104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416856132).

272029104 is an abundant number, since it is smaller than the sum of its proper divisors (561683160).

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

272029104 is a wasteful number, since it uses less digits than its factorization.

272029104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 272029104 is about 16493.3048234731. The cubic root of 272029104 is about 647.9454686622.

Adding to 272029104 its reverse (401920272), we get a palindrome (673949376).

The spelling of 272029104 in words is "two hundred seventy-two million, twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 12347 22032 24694 37041 49388 74082 98776 111123 148164 197552 209899 222246 296328 333369 419798 444492 592656 629697 666738 839596 888984 1000107 1259394 1333476 1679192 1777968 1889091 2000214 2518788 2666952 3358384 3778182 4000428 5037576 5333904 5667273 7556364 8000856 10075152 11334546 15112728 16001712 17001819 22669092 30225456 34003638 45338184 68007276 90676368 136014552 272029104