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152616126 = 23132592551
BaseRepresentation
bin10010001100010…
…11110010111110
3101122011200222010
421012023302332
5303032204001
623051032050
73532133655
oct1106136276
9348150863
10152616126
1179169833
124313b626
1325806900
14163aa19c
15d5e98d6
hex918bcbe

152616126 has 48 divisors (see below), whose sum is σ = 336251520. Its totient is φ = 46144800.

The previous prime is 152616119. The next prime is 152616127. The reversal of 152616126 is 621616251.

152616126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152616093 and 152616102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152616127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58551 + ... + 61101.

It is an arithmetic number, because the mean of its divisors is an integer number (7005240).

Almost surely, 2152616126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152616126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168125760).

152616126 is an abundant number, since it is smaller than the sum of its proper divisors (183635394).

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

152616126 is a wasteful number, since it uses less digits than its factorization.

152616126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2628 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 152616126 is about 12353.7899447902. The cubic root of 152616126 is about 534.4004416874.

The spelling of 152616126 in words is "one hundred fifty-two million, six hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 59 78 118 169 177 338 354 507 767 1014 1534 2301 2551 4602 5102 7653 9971 15306 19942 29913 33163 59826 66326 99489 150509 198978 301018 431119 451527 862238 903054 1293357 1956617 2586714 3913234 5869851 11739702 25436021 50872042 76308063 152616126