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151232640 = 2735137383
BaseRepresentation
bin10010000001110…
…10000010000000
3101112120102011220
421000322002000
5302203421030
623001235040
73514312326
oct1100720200
9345512156
10151232640
1178404359
1242792a80
1325440c90
1416129d16
15d424a10
hex903a080

151232640 has 256 divisors, whose sum is σ = 532586880. Its totient is φ = 36274176.

The previous prime is 151232639. The next prime is 151232671. The reversal of 151232640 is 46232151.

It is a super-2 number, since 2×1512326402 = 45742622802739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151232640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822039 + ... + 1822121.

Almost surely, 2151232640 is an apocalyptic number.

151232640 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 151232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266293440).

151232640 is an abundant number, since it is smaller than the sum of its proper divisors (381354240).

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

151232640 is a wasteful number, since it uses less digits than its factorization.

151232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 151232640 is about 12297.6680716305. The cubic root of 151232640 is about 532.7807331903.

Adding to 151232640 its reverse (46232151), we get a palindrome (197464791).

The spelling of 151232640 in words is "one hundred fifty-one million, two hundred thirty-two thousand, six hundred forty".