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238057680 = 24357231653
BaseRepresentation
bin11100011000001…
…11100011010000
3121120221120202010
432030013203100
5441420321210
635342222520
75620312500
oct1614074320
9546846663
10238057680
11112417293
1267884a40
133a420a43
142388ba00
1515d75920
hexe3078d0

238057680 has 240 divisors, whose sum is σ = 887514624. Its totient is φ = 52577280.

The previous prime is 238057661. The next prime is 238057693. The reversal of 238057680 is 86750832.

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, 364234 + ... + 364886.

Almost surely, 2238057680 is an apocalyptic number.

238057680 is a gapful number since it is divisible by the number (20) 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 238057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443757312).

238057680 is an abundant number, since it is smaller than the sum of its proper divisors (649456944).

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

238057680 is a wasteful number, since it uses less digits than its factorization.

238057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 238057680 is about 15429.1179268291. The cubic root of 238057680 is about 619.7655027171.

The spelling of 238057680 in words is "two hundred thirty-eight million, fifty-seven thousand, six hundred eighty".