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2131406508 = 22372112291439
BaseRepresentation
bin111111100001010…
…1010111010101100
312111112121200001210
41333002222322230
513331120002013
6551255234420
7103550441100
oct17702527254
95445550053
102131406508
119a413a290
124b5978a10
1327c7660aa
14163103900
15c71bccc3
hex7f0aaeac

2131406508 has 144 divisors (see below), whose sum is σ = 6343142400. Its totient is φ = 550811520.

The previous prime is 2131406489. The next prime is 2131406513. The reversal of 2131406508 is 8056041312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480453 + ... + 1481891.

It is an arithmetic number, because the mean of its divisors is an integer number (44049600).

Almost surely, 22131406508 is an apocalyptic number.

2131406508 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131406508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171571200).

2131406508 is an abundant number, since it is smaller than the sum of its proper divisors (4211735892).

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

2131406508 is a wasteful number, since it uses less digits than its factorization.

2131406508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2131406508 is about 46167.1583271052. The cubic root of 2131406508 is about 1286.9314941056.

The spelling of 2131406508 in words is "two billion, one hundred thirty-one million, four hundred six thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 229 231 294 308 458 462 539 588 687 916 924 1078 1374 1439 1603 1617 2156 2519 2748 2878 3206 3234 4317 4809 5038 5756 6412 6468 7557 8634 9618 10073 10076 11221 15114 15829 17268 17633 19236 20146 22442 30219 30228 31658 33663 35266 40292 44884 47487 52899 60438 63316 67326 70511 70532 94974 105798 110803 120876 123431 134652 141022 189948 211533 211596 221606 246862 282044 329531 332409 370293 423066 443212 493724 659062 664818 740586 775621 846132 988593 1318124 1329636 1481172 1551242 1977186 2306717 2326863 3102484 3624841 3954372 4613434 4653726 6920151 7249682 9226868 9307452 10874523 13840302 14499364 16147019 21749046 25373887 27680604 32294038 43498092 48441057 50747774 64588076 76121661 96882114 101495548 152243322 177617209 193764228 304486644 355234418 532851627 710468836 1065703254 2131406508