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152106606 = 2331011672
BaseRepresentation
bin10010001000011…
…11011001101110
3101121012211001000
421010033121232
5302414402411
623032101130
73524612331
oct1104173156
9347184030
10152106606
1178950a43
1242b347a6
1325688a12
14162b6618
15d548956
hex910f66e

152106606 has 48 divisors (see below), whose sum is σ = 343417680. Its totient is φ = 49899600.

The previous prime is 152106601. The next prime is 152106623. The reversal of 152106606 is 606601251.

It is a happy number.

152106606 is a `hidden beast` number, since 1 + 52 + 1 + 0 + 6 + 606 = 666.

152106606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 152106606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152106601) 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, 910735 + ... + 910901.

It is an arithmetic number, because the mean of its divisors is an integer number (7154535).

Almost surely, 2152106606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152106606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171708840).

152106606 is an abundant number, since it is smaller than the sum of its proper divisors (191311074).

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

152106606 is a wasteful number, since it uses less digits than its factorization.

152106606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152106606 is about 12333.1506923414. The cubic root of 152106606 is about 533.8050670899.

Adding to 152106606 its reverse (606601251), we get a palindrome (758707857).

The spelling of 152106606 in words is "one hundred fifty-two million, one hundred six thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 101 167 202 303 334 501 606 909 1002 1503 1818 2727 3006 4509 5454 9018 16867 27889 33734 50601 55778 83667 101202 151803 167334 251001 303606 455409 502002 753003 910818 1506006 2816789 5633578 8450367 16900734 25351101 50702202 76053303 152106606