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1334053920 = 253517163487
BaseRepresentation
bin100111110000100…
…0000110000100000
310102222020221221110
41033201000300200
510213004211140
6340213223320
745026162013
oct11741006040
93388227843
101334053920
11625047501
12312931b40
131834cc224
14c926737a
157c1ba380
hex4f840c20

1334053920 has 96 divisors (see below), whose sum is σ = 4449489408. Its totient is φ = 334819328.

The previous prime is 1334053909. The next prime is 1334053921. The reversal of 1334053920 is 293504331.

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

It is a super-2 number, since 2×13340539202 = 3559399722934732800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1334053921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73584 + ... + 89903.

It is an arithmetic number, because the mean of its divisors is an integer number (46348848).

Almost surely, 21334053920 is an apocalyptic number.

1334053920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334053920 is an abundant number, since it is smaller than the sum of its proper divisors (3115435488).

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

1334053920 is a wasteful number, since it uses less digits than its factorization.

1334053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163522 (or 163514 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 1334053920 is about 36524.7028735348. The cubic root of 1334053920 is about 1100.8406576525.

The spelling of 1334053920 in words is "one billion, three hundred thirty-four million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 163487 326974 490461 653948 817435 980922 1307896 1634870 1961844 2452305 2615792 2779279 3269740 3923688 4904610 5231584 5558558 6539480 7847376 8337837 9809220 11117116 13078960 13896395 15694752 16675674 19618440 22234232 26157920 27792790 33351348 39236880 41689185 44468464 55585580 66702696 78473760 83378370 88936928 111171160 133405392 166756740 222342320 266810784 333513480 444684640 667026960 1334053920