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1253333920 = 25541191057
BaseRepresentation
bin100101010110100…
…0101101110100000
310020100100221220211
41022231011232200
510031323141140
6324211143504
743026106516
oct11255055640
93210327824
101253333920
11593524363
122ab8a4b94
1316c879207
14bc6544b6
15750732ea
hex4ab45ba0

1253333920 has 48 divisors (see below), whose sum is σ = 3033236808. Its totient is φ = 489103360.

The previous prime is 1253333909. The next prime is 1253333933. The reversal of 1253333920 is 293333521.

It can be written as a sum of positive squares in 4 ways, for example, as 1041223824 + 212110096 = 32268^2 + 14564^2 .

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, 88969 + ... + 102088.

Almost surely, 21253333920 is an apocalyptic number.

1253333920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253333920 is an abundant number, since it is smaller than the sum of its proper divisors (1779902888).

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

1253333920 is a wasteful number, since it uses less digits than its factorization.

1253333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191113 (or 191105 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

The square root of 1253333920 is about 35402.4564119497. The cubic root of 1253333920 is about 1078.1741898946.

The spelling of 1253333920 in words is "one billion, two hundred fifty-three million, three hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 191057 382114 764228 955285 1528456 1910570 3056912 3821140 6113824 7642280 7833337 15284560 15666674 30569120 31333348 39166685 62666696 78333370 125333392 156666740 250666784 313333480 626666960 1253333920