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156049920 = 2932513521
BaseRepresentation
bin10010100110100…
…10001000000000
3101212122011020200
421103102020000
5304422044140
623252405200
73603255015
oct1123221000
9355564220
10156049920
11800a4684
1244316800
1326439840
1416a2170c
15da77030
hex94d2200

156049920 has 240 divisors, whose sum is σ = 583134552. Its totient is φ = 38338560.

The previous prime is 156049913. The next prime is 156049931. The reversal of 156049920 is 29940651.

156049920 is a `hidden beast` number, since 1 + 560 + 4 + 9 + 92 + 0 = 666.

156049920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80568576 + 75481344 = 8976^2 + 8688^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299260 + ... + 299780.

Almost surely, 2156049920 is an apocalyptic number.

156049920 is a gapful number since it is divisible by the number (10) 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 156049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291567276).

156049920 is an abundant number, since it is smaller than the sum of its proper divisors (427084632).

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

156049920 is a wasteful number, since it uses less digits than its factorization.

156049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 156049920 is about 12491.9942363099. The cubic root of 156049920 is about 538.3786760194.

The spelling of 156049920 in words is "one hundred fifty-six million, forty-nine thousand, nine hundred twenty".