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151505040 = 2435631271
BaseRepresentation
bin10010000011111…
…00100010010000
3101120002020211210
421001330202100
5302241130130
623011140120
73516525441
oct1101744220
9346066753
10151505040
117857aa85
12428a4640
1325507c6b
141619b2c8
15d47a5b0
hex907c890

151505040 has 40 divisors (see below), whose sum is σ = 469666368. Its totient is φ = 40401280.

The previous prime is 151505033. The next prime is 151505051. The reversal of 151505040 is 40505151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 151504998 and 151505016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315396 + ... + 315875.

Almost surely, 2151505040 is an apocalyptic number.

151505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151505040 is an abundant number, since it is smaller than the sum of its proper divisors (318161328).

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

151505040 is a wasteful number, since it uses less digits than its factorization.

151505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631287 (or 631281 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 151505040 is about 12308.7383593933. The cubic root of 151505040 is about 533.1004226065.

The spelling of 151505040 in words is "one hundred fifty-one million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631271 1262542 1893813 2525084 3156355 3787626 5050168 6312710 7575252 9469065 10100336 12625420 15150504 18938130 25250840 30301008 37876260 50501680 75752520 151505040