Search a number
-
+
152160036 = 22372238123
BaseRepresentation
bin10010001000111…
…00011100100100
3101121022112022220
421010130130210
5302423110121
623033152340
73525224160
oct1104343444
9347275286
10152160036
11789880a6
1242b5b6b0
13256a7132
14162cbca0
15d5596c6
hex911c724

152160036 has 48 divisors (see below), whose sum is σ = 407629824. Its totient is φ = 43274016.

The previous prime is 152160023. The next prime is 152160049. The reversal of 152160036 is 630061251.

It is an interprime number because it is at equal distance from previous prime (152160023) and next prime (152160049).

It is a junction number, because it is equal to n+sod(n) for n = 152159988 and 152160015.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14671 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (8492288).

Almost surely, 2152160036 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 152160036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203814912).

152160036 is an abundant number, since it is smaller than the sum of its proper divisors (255469788).

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

152160036 is a wasteful number, since it uses less digits than its factorization.

152160036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 152160036 is about 12335.3166153123. The cubic root of 152160036 is about 533.8675624380.

The spelling of 152160036 in words is "one hundred fifty-two million, one hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 892 1338 1561 2676 3122 4683 6244 8123 9366 16246 18732 24369 32492 48738 56861 97476 113722 170583 227444 341166 682332 1811429 3622858 5434287 7245716 10868574 12680003 21737148 25360006 38040009 50720012 76080018 152160036