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151412460 = 22354358687
BaseRepresentation
bin10010000011001…
…01111011101100
3101112220112211220
421001211323230
5302230144320
623005143340
73515661513
oct1101457354
9345815756
10151412460
1178517471
124285ab50
13254a4a94
141617567a
15d45ce40
hex9065eec

151412460 has 48 divisors (see below), whose sum is σ = 433821696. Its totient is φ = 39436992.

The previous prime is 151412453. The next prime is 151412461. The reversal of 151412460 is 64214151.

It is a happy number.

151412460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151412460.

It is not an unprimeable number, because it can be changed into a prime (151412461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26764 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (9037952).

Almost surely, 2151412460 is an apocalyptic number.

151412460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151412460 is an abundant number, since it is smaller than the sum of its proper divisors (282409236).

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

151412460 is a wasteful number, since it uses less digits than its factorization.

151412460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58742 (or 58740 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 151412460 is about 12304.9770418315. The cubic root of 151412460 is about 532.9918134726.

The spelling of 151412460 in words is "one hundred fifty-one million, four hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 58687 117374 176061 234748 293435 352122 586870 704244 880305 1173740 1760610 2523541 3521220 5047082 7570623 10094164 12617705 15141246 25235410 30282492 37853115 50470820 75706230 151412460