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153239040 = 29345739
BaseRepresentation
bin10010010001000…
…11111000000000
3101200100100110000
421020203320000
5303212122130
623112240000
73540340023
oct1110437000
9350310400
10153239040
1179554839
12433a0000
13259942b6
14164cd1ba
15d6be260
hex9223e00

153239040 has 200 divisors, whose sum is σ = 549596520. Its totient is φ = 40808448.

The previous prime is 153239039. The next prime is 153239063. The reversal of 153239040 is 40932351.

153239040 is a `hidden beast` number, since 1 + 532 + 3 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153238995 and 153239013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206991 + ... + 207729.

Almost surely, 2153239040 is an apocalyptic number.

153239040 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 153239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274798260).

153239040 is an abundant number, since it is smaller than the sum of its proper divisors (396357480).

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

153239040 is an frugal number, since it uses more digits than its factorization.

153239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 153239040 is about 12378.9757249944. The cubic root of 153239040 is about 535.1265197035.

The spelling of 153239040 in words is "one hundred fifty-three million, two hundred thirty-nine thousand, forty".