Search a number
-
+
156064896 = 27321317613
BaseRepresentation
bin10010100110101…
…01110010000000
3101212122220210100
421103111302000
5304423034041
623253002400
73603346461
oct1123256200
9355586710
10156064896
1180104959
1244323400
13264435c0
1416a26d68
15da7b6b6
hex94d5c80

156064896 has 192 divisors, whose sum is σ = 512923320. Its totient is φ = 45121536.

The previous prime is 156064889. The next prime is 156064903. The reversal of 156064896 is 698460651.

156064896 is a `hidden beast` number, since 1 + 560 + 6 + 4 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (156064889) and next prime (156064903).

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 81000000 = 8664^2 + 9000^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 254286 + ... + 254898.

Almost surely, 2156064896 is an apocalyptic number.

156064896 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 156064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256461660).

156064896 is an abundant number, since it is smaller than the sum of its proper divisors (356858424).

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

156064896 is a wasteful number, since it uses less digits than its factorization.

156064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 156064896 is about 12492.5936458367. The cubic root of 156064896 is about 538.3958980749.

It can be divided in two parts, 15606 and 4896, that added together give a palindrome (20502).

The spelling of 156064896 in words is "one hundred fifty-six million, sixty-four thousand, eight hundred ninety-six".