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253768080 = 24351057367
BaseRepresentation
bin11110010000000…
…11000110010000
3122200111202100210
433020003012100
51004431034310
641103044120
76200664426
oct1710030620
9580452323
10253768080
11120277795
1270ba0640
1340761837
14259bb116
151742a820
hexf203190

253768080 has 40 divisors (see below), whose sum is σ = 786681792. Its totient is φ = 67671424.

The previous prime is 253768079. The next prime is 253768117. The reversal of 253768080 is 80867352.

253768080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 528444 + ... + 528923.

Almost surely, 2253768080 is an apocalyptic number.

253768080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253768080 is an abundant number, since it is smaller than the sum of its proper divisors (532913712).

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

253768080 is a wasteful number, since it uses less digits than its factorization.

253768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057383 (or 1057377 counting only the distinct ones).

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

The square root of 253768080 is about 15930.0998113634. The cubic root of 253768080 is about 633.1097444048.

The spelling of 253768080 in words is "two hundred fifty-three million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1057367 2114734 3172101 4229468 5286835 6344202 8458936 10573670 12688404 15860505 16917872 21147340 25376808 31721010 42294680 50753616 63442020 84589360 126884040 253768080