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156045312 = 212331783
BaseRepresentation
bin10010100110100…
…01000000000000
3101212121220221000
421103101000000
5304421422222
623252332000
73603235413
oct1123210000
9355556830
10156045312
11800a1175
1244314000
1326437707
1416a1db7a
15da759ac
hex94d1000

156045312 has 208 divisors, whose sum is σ = 495391680. Its totient is φ = 48365568.

The previous prime is 156045299. The next prime is 156045319. The reversal of 156045312 is 213540651.

156045312 is a `hidden beast` number, since 1 + 5 + 604 + 53 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (156045319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880023 + ... + 1880105.

Almost surely, 2156045312 is an apocalyptic number.

156045312 is a gapful number since it is divisible by the number (12) 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 156045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

156045312 is an abundant number, since it is smaller than the sum of its proper divisors (339346368).

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

156045312 is an equidigital number, since it uses as much as digits as its factorization.

156045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 156045312 is about 12491.8097968229. The cubic root of 156045312 is about 538.3733767038.

Adding to 156045312 its reverse (213540651), we get a palindrome (369585963).

The spelling of 156045312 in words is "one hundred fifty-six million, forty-five thousand, three hundred twelve".