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1313930408 = 237172194273
BaseRepresentation
bin100111001010000…
…1111110010101000
310101120101120200012
41032110033302220
510142331233113
6334214031052
744363136620
oct11624176250
93346346605
101313930408
116147523aa
12308048488
1317c2a481b
14c6709880
157a542aa8
hex4e50fca8

1313930408 has 96 divisors (see below), whose sum is σ = 3149083200. Its totient is φ = 501977088.

The previous prime is 1313930369. The next prime is 1313930411. The reversal of 1313930408 is 8040393131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305360 + ... + 309632.

It is an arithmetic number, because the mean of its divisors is an integer number (32802950).

Almost surely, 21313930408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313930408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574541600).

1313930408 is an abundant number, since it is smaller than the sum of its proper divisors (1835152792).

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

1313930408 is a wasteful number, since it uses less digits than its factorization.

1313930408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1313930408 is about 36248.1779955903. The cubic root of 1313930408 is about 1095.2773865488.

The spelling of 1313930408 in words is "one billion, three hundred thirteen million, nine hundred thirty thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 289 323 476 532 578 646 952 1064 1156 1292 2023 2261 2312 2584 4046 4273 4522 5491 8092 8546 9044 10982 16184 17092 18088 21964 29911 34184 38437 43928 59822 72641 76874 81187 119644 145282 153748 162374 239288 290564 307496 324748 508487 568309 581128 649496 1016974 1136618 1234897 1380179 2033948 2273236 2469794 2760358 4067896 4546472 4939588 5520716 8644279 9661253 9879176 11041432 17288558 19322506 23463043 34577116 38645012 46926086 69154232 77290024 93852172 164241301 187704344 328482602 656965204 1313930408