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152106112 = 273732117
BaseRepresentation
bin10010001000011…
…11010010000000
3101121012210100201
421010033102000
5302414343422
623032054544
73524611024
oct1104172200
9347183321
10152106112
1178950634
1242b34454
1325688722
14162b6384
15d548727
hex910f480

152106112 has 32 divisors (see below), whose sum is σ = 311223420. Its totient is φ = 73995264.

The previous prime is 152106079. The next prime is 152106133. The reversal of 152106112 is 211601251.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 1700416 = 12264^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1521061123 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152106112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11323 + ... + 20794.

Almost surely, 2152106112 is an apocalyptic number.

It is an amenable number.

152106112 is an abundant number, since it is smaller than the sum of its proper divisors (159117308).

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

152106112 is an equidigital number, since it uses as much as digits as its factorization.

152106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32168 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 152106112 is about 12333.1306650015. The cubic root of 152106112 is about 533.8044892058.

Adding to 152106112 its reverse (211601251), we get a palindrome (363707363).

The spelling of 152106112 in words is "one hundred fifty-two million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 32117 64234 128468 256936 513872 1027744 1188329 2055488 2376658 4110976 4753316 9506632 19013264 38026528 76053056 152106112