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153040896 = 2113219223
BaseRepresentation
bin10010001111100…
…11100000000000
3101122222021122100
421013303200000
5303134302041
623104110400
73535553241
oct1107634000
9348867570
10153040896
1179429988
1243305400
1325925058
141647acc8
15d6806b6
hex91f3800

153040896 has 216 divisors, whose sum is σ = 486780840. Its totient is φ = 46227456.

The previous prime is 153040889. The next prime is 153040939. The reversal of 153040896 is 698040351.

153040896 is a `hidden beast` number, since 1 + 530 + 40 + 89 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 153040896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6653941 + ... + 6653963.

It is an arithmetic number, because the mean of its divisors is an integer number (2253615).

Almost surely, 2153040896 is an apocalyptic number.

153040896 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 153040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243390420).

153040896 is an abundant number, since it is smaller than the sum of its proper divisors (333739944).

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

153040896 is a wasteful number, since it uses less digits than its factorization.

153040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153040896 is about 12370.9698892205. The cubic root of 153040896 is about 534.8957737978.

The spelling of 153040896 in words is "one hundred fifty-three million, forty thousand, eight hundred ninety-six".