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253716960 = 2535775511
BaseRepresentation
bin11110001111101…
…10100111100000
3122200102011020110
433013312213200
51004422420320
641102011320
76200362410
oct1707664740
9580364213
10253716960
11120242342
1270b76b40
13407444a3
14259a6640
151741a5e0
hexf1f69e0

253716960 has 96 divisors (see below), whose sum is σ = 913393152. Its totient is φ = 57991680.

The previous prime is 253716943. The next prime is 253717003. The reversal of 253716960 is 69617352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34396 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (9514512).

Almost surely, 2253716960 is an apocalyptic number.

253716960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253716960 is an abundant number, since it is smaller than the sum of its proper divisors (659676192).

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

253716960 is a wasteful number, since it uses less digits than its factorization.

253716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75536 (or 75528 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 253716960 is about 15928.4952208299. The cubic root of 253716960 is about 633.0672295443.

The spelling of 253716960 in words is "two hundred fifty-three million, seven hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 75511 151022 226533 302044 377555 453066 528577 604088 755110 906132 1057154 1132665 1208176 1510220 1585731 1812264 2114308 2265330 2416352 2642885 3020440 3171462 3624528 4228616 4530660 5285770 6040880 6342924 7249056 7928655 8457232 9061320 10571540 12081760 12685848 15857310 16914464 18122640 21143080 25371696 31714620 36245280 42286160 50743392 63429240 84572320 126858480 253716960