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152094012 = 223719233409
BaseRepresentation
bin10010001000011…
…00010100111100
3101121012011202120
421010030110330
5302414002022
623031522540
73524530530
oct1104142474
9347164676
10152094012
1178942534
1242b29450
1325683075
14162b1bc0
15d544d5c
hex910c53c

152094012 has 96 divisors (see below), whose sum is σ = 429811200. Its totient is φ = 40891392.

The previous prime is 152094011. The next prime is 152094037. The reversal of 152094012 is 210490251.

It is a super-2 number, since 2×1520940122 = 46265176972512288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152094011) 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 31 ways as a sum of consecutive naturals, for example, 371664 + ... + 372072.

It is an arithmetic number, because the mean of its divisors is an integer number (4477200).

Almost surely, 2152094012 is an apocalyptic number.

152094012 is a gapful number since it is divisible by the number (12) 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 152094012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214905600).

152094012 is an abundant number, since it is smaller than the sum of its proper divisors (277717188).

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

152094012 is a wasteful number, since it uses less digits than its factorization.

152094012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152094012 is about 12332.6401066438. The cubic root of 152094012 is about 533.7903341629.

The spelling of 152094012 in words is "one hundred fifty-two million, ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 233 266 399 409 466 532 699 798 818 932 1227 1398 1596 1631 1636 2454 2796 2863 3262 4427 4893 4908 5726 6524 7771 8589 8854 9786 11452 13281 15542 17178 17708 19572 23313 26562 30989 31084 34356 46626 53124 54397 61978 92967 93252 95297 108794 123956 163191 185934 190594 217588 285891 326382 371868 381188 571782 652764 667079 1143564 1334158 1810643 2001237 2668316 3621286 4002474 5431929 7242572 8004948 10863858 12674501 21727716 25349002 38023503 50698004 76047006 152094012