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253985280 = 293533071
BaseRepresentation
bin11110010001110…
…00001000000000
3122200220210022020
433020320020000
51010010012110
641111441440
76202560603
oct1710701000
9580823266
10253985280
1112040599a
1271086280
1340809663
1425a3633a
151746ed70
hexf238200

253985280 has 80 divisors (see below), whose sum is σ = 811983744. Its totient is φ = 67727360.

The previous prime is 253985269. The next prime is 253985309. The reversal of 253985280 is 82589352.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8856 + ... + 24215.

Almost surely, 2253985280 is an apocalyptic number.

253985280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253985280 is an abundant number, since it is smaller than the sum of its proper divisors (557998464).

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

253985280 is an equidigital number, since it uses as much as digits as its factorization.

253985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33097 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 253985280 is about 15936.9156363457. The cubic root of 253985280 is about 633.2903190239.

The spelling of 253985280 in words is "two hundred fifty-three million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 33071 66142 99213 132284 165355 198426 264568 330710 396852 496065 529136 661420 793704 992130 1058272 1322840 1587408 1984260 2116544 2645680 3174816 3968520 4233088 5291360 6349632 7937040 8466176 10582720 12699264 15874080 16932352 21165440 25398528 31748160 42330880 50797056 63496320 84661760 126992640 253985280