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154064064 = 26371117613
BaseRepresentation
bin10010010111011…
…01010011000000
3101201220021011110
421023231103000
5303420022224
623142043320
73550344240
oct1113552300
9351807143
10154064064
1179a68680
1243719540
1325bc298b
1416665b20
15d7d3929
hex92ed4c0

154064064 has 224 divisors, whose sum is σ = 538983936. Its totient is φ = 37601280.

The previous prime is 154064011. The next prime is 154064069. The reversal of 154064064 is 460460451.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (154064069) 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, 251022 + ... + 251634.

Almost surely, 2154064064 is an apocalyptic number.

154064064 is a gapful number since it is divisible by the number (14) 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 154064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269491968).

154064064 is an abundant number, since it is smaller than the sum of its proper divisors (384919872).

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

154064064 is a wasteful number, since it uses less digits than its factorization.

154064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 154064064 is about 12412.2545897190. The cubic root of 154064064 is about 536.0851576289.

The spelling of 154064064 in words is "one hundred fifty-four million, sixty-four thousand, sixty-four".