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253276320 = 25351147969
BaseRepresentation
bin11110001100010…
…11000010100000
3122122120202210110
433012023002200
51004314320240
641044331320
76163545633
oct1706130240
9578522713
10253276320
1111aa71280
12709a3b40
134061ba5b
14258cdc1a
151737ec80
hexf18b0a0

253276320 has 96 divisors (see below), whose sum is σ = 870367680. Its totient is φ = 61399040.

The previous prime is 253276313. The next prime is 253276339. The reversal of 253276320 is 23672352.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18705 + ... + 29264.

It is an arithmetic number, because the mean of its divisors is an integer number (9066330).

Almost surely, 2253276320 is an apocalyptic number.

253276320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253276320 is an abundant number, since it is smaller than the sum of its proper divisors (617091360).

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

253276320 is a wasteful number, since it uses less digits than its factorization.

253276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47998 (or 47990 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 253276320 is about 15914.6573949928. The cubic root of 253276320 is about 632.7005264400.

The spelling of 253276320 in words is "two hundred fifty-three million, two hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 47969 95938 143907 191876 239845 287814 383752 479690 527659 575628 719535 767504 959380 1055318 1151256 1439070 1535008 1582977 1918760 2110636 2302512 2638295 2878140 3165954 3837520 4221272 4605024 5276590 5756280 6331908 7675040 7914885 8442544 10553180 11512560 12663816 15829770 16885088 21106360 23025120 25327632 31659540 42212720 50655264 63319080 84425440 126638160 253276320