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253680720 = 24351057003
BaseRepresentation
bin11110001111011…
…01110001010000
3122200100022112020
433013231301100
51004420240340
641101131440
76200151636
oct1707556120
9580308466
10253680720
11120218097
1270b59b80
1340730b47
1425997356
151740e9d0
hexf1edc50

253680720 has 40 divisors (see below), whose sum is σ = 786410976. Its totient is φ = 67648128.

The previous prime is 253680709. The next prime is 253680727. The reversal of 253680720 is 27086352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253680727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528262 + ... + 528741.

Almost surely, 2253680720 is an apocalyptic number.

253680720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253680720 is an abundant number, since it is smaller than the sum of its proper divisors (532730256).

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

253680720 is a wasteful number, since it uses less digits than its factorization.

253680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057019 (or 1057013 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 253680720 is about 15927.3575962870. The cubic root of 253680720 is about 633.0370864420.

The spelling of 253680720 in words is "two hundred fifty-three million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1057003 2114006 3171009 4228012 5285015 6342018 8456024 10570030 12684036 15855045 16912048 21140060 25368072 31710090 42280120 50736144 63420180 84560240 126840360 253680720