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157002480 = 2432517101127
BaseRepresentation
bin10010101101110…
…10101011110000
3101221102112220200
421112322223300
5310143034410
623325035200
73614333115
oct1126725360
9357375820
10157002480
1180695318
12446b5b00
13266b129b
1416bcc90c
15dbb43c0
hex95baaf0

157002480 has 240 divisors, whose sum is σ = 568249344. Its totient is φ = 38707200.

The previous prime is 157002479. The next prime is 157002493. The reversal of 157002480 is 84200751.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236177 + ... + 1236303.

Almost surely, 2157002480 is an apocalyptic number.

157002480 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 157002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284124672).

157002480 is an abundant number, since it is smaller than the sum of its proper divisors (411246864).

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

157002480 is a wasteful number, since it uses less digits than its factorization.

157002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157002480 is about 12530.0630485245. The cubic root of 157002480 is about 539.4719117126.

The spelling of 157002480 in words is "one hundred fifty-seven million, two thousand, four hundred eighty".