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152811036 = 2235737607
BaseRepresentation
bin10010001101110…
…11011000011100
3101122112121100000
421012323120130
5303104423121
623055134300
73533605140
oct1106733034
9348477300
10152811036
1179292214
1243214390
1325874541
141641b220
15d637526
hex91bb61c

152811036 has 144 divisors (see below), whose sum is σ = 470951936. Its totient is φ = 42410304.

The previous prime is 152811023. The next prime is 152811037. The reversal of 152811036 is 630118251.

152811036 is digitally balanced in base 2, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152811037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251445 + ... + 252051.

Almost surely, 2152811036 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 152811036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235475968).

152811036 is an abundant number, since it is smaller than the sum of its proper divisors (318140900).

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

152811036 is a wasteful number, since it uses less digits than its factorization.

152811036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 152811036 is about 12361.6760999470. The cubic root of 152811036 is about 534.6278437810.

Adding to 152811036 its reverse (630118251), we get a palindrome (782929287).

The spelling of 152811036 in words is "one hundred fifty-two million, eight hundred eleven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 243 252 259 324 333 378 444 486 518 567 607 666 756 777 972 999 1036 1134 1214 1332 1554 1701 1821 1998 2268 2331 2428 2997 3108 3402 3642 3996 4249 4662 5463 5994 6804 6993 7284 8498 8991 9324 10926 11988 12747 13986 16389 16996 17982 20979 21852 22459 25494 27972 32778 35964 38241 41958 44918 49167 50988 62937 65556 67377 76482 83916 89836 98334 114723 125874 134754 147501 152964 157213 196668 202131 229446 251748 269508 295002 314426 344169 404262 458892 471639 590004 606393 628852 688338 808524 943278 1032507 1212786 1376676 1414917 1819179 1886556 2065014 2425572 2829834 3638358 4130028 4244751 5457537 5659668 7276716 8489502 10915074 12734253 16979004 21830148 25468506 38202759 50937012 76405518 152811036