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156413106 = 2341735581
BaseRepresentation
bin10010101001010…
…10110010110010
3101220022121110000
421110222302302
5310020204411
623304250430
73606326613
oct1124526262
9356277400
10156413106
1180322533
1244470a16
1326535c45
1416ab7c0a
15dae9956
hex952acb2

156413106 has 40 divisors (see below), whose sum is σ = 352570284. Its totient is φ = 51827040.

The previous prime is 156413093. The next prime is 156413113. The reversal of 156413106 is 601314651.

156413106 is a `hidden beast` number, since 1 + 5 + 641 + 3 + 10 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153140625 + 3272481 = 12375^2 + 1809^2 .

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 156413106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25236 + ... + 30816.

Almost surely, 2156413106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156413106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176285142).

156413106 is an abundant number, since it is smaller than the sum of its proper divisors (196157178).

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

156413106 is a wasteful number, since it uses less digits than its factorization.

156413106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5759 counting only the distinct ones).

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

The square root of 156413106 is about 12506.5225382598. The cubic root of 156413106 is about 538.7960213197.

Adding to 156413106 its reverse (601314651), we get a palindrome (757727757).

The spelling of 156413106 in words is "one hundred fifty-six million, four hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 1038 1557 3114 4671 5581 9342 11162 14013 16743 28026 33486 50229 100458 150687 301374 452061 904122 965513 1931026 2896539 5793078 8689617 17379234 26068851 52137702 78206553 156413106