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155990016 = 2113371331
BaseRepresentation
bin10010100110000…
…11100000000000
3101212112010002000
421103003200000
5304413140031
623251224000
73602615250
oct1123034000
9355463060
10155990016
1180063676
12442a8000
13264184b0
1416a07960
15da643e6
hex94c3800

155990016 has 384 divisors, whose sum is σ = 587059200. Its totient is φ = 39813120.

The previous prime is 155989997. The next prime is 155990017. The reversal of 155990016 is 610099551.

155990016 is a `hidden beast` number, since 1 + 559 + 90 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155990017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031921 + ... + 5031951.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2155990016 is an apocalyptic number.

155990016 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 155990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

155990016 is an abundant number, since it is smaller than the sum of its proper divisors (431069184).

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

155990016 is a wasteful number, since it uses less digits than its factorization.

155990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 155990016 is about 12489.5963105298. The cubic root of 155990016 is about 538.3097767768.

The spelling of 155990016 in words is "one hundred fifty-five million, nine hundred ninety thousand, sixteen".