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152120176 = 24135313799
BaseRepresentation
bin10010001000100…
…10101101110000
3101121020111122121
421010102231300
5302420321201
623032244024
73525000025
oct1104225560
9347214577
10152120176
117896015a
1242b40614
1325691c50
14162bb54c
15d54c9a1
hex9112b70

152120176 has 40 divisors (see below), whose sum is σ = 323416800. Its totient is φ = 68879616.

The previous prime is 152120173. The next prime is 152120179. The reversal of 152120176 is 671021251.

It is an interprime number because it is at equal distance from previous prime (152120173) and next prime (152120179).

It is a self number, because there is not a number n which added to its sum of digits gives 152120176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152120173) 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 7 ways as a sum of consecutive naturals, for example, 4125 + ... + 17923.

It is an arithmetic number, because the mean of its divisors is an integer number (8085420).

Almost surely, 2152120176 is an apocalyptic number.

152120176 is a gapful number since it is divisible by the number (16) 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 152120176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161708400).

152120176 is an abundant number, since it is smaller than the sum of its proper divisors (171296624).

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

152120176 is a wasteful number, since it uses less digits than its factorization.

152120176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13867 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 152120176 is about 12333.7008233539. The cubic root of 152120176 is about 533.8209408676.

The spelling of 152120176 in words is "one hundred fifty-two million, one hundred twenty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 13799 27598 55196 110392 179387 220784 358774 717548 731347 1435096 1462694 2870192 2925388 5850776 9507511 11701552 19015022 38030044 76060088 152120176