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3115088640 = 28325270407
BaseRepresentation
bin1011100110101100…
…0111101100000000
322001002120220021100
42321223013230000
522334430314030
61233035054400
7140123550036
oct27153075400
98032526240
103115088640
111359428224
1272b2a1400
133a84abb21
14217a04556
15133729360
hexb9ac7b00

3115088640 has 108 divisors (see below), whose sum is σ = 10777922064. Its totient is φ = 830687232.

The previous prime is 3115088623. The next prime is 3115088659. The reversal of 3115088640 is 468805113.

3115088640 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 0 + 8 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3115088595 and 3115088604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123684 + ... + 146723.

Almost surely, 23115088640 is an apocalyptic number.

3115088640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3115088640 is an abundant number, since it is smaller than the sum of its proper divisors (7662833424).

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

3115088640 is a wasteful number, since it uses less digits than its factorization.

3115088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270434 (or 270417 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3115088640 is about 55812.9791356813. The cubic root of 3115088640 is about 1460.4615792080.

The spelling of 3115088640 in words is "three billion, one hundred fifteen million, eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 270407 540814 811221 1081628 1352035 1622442 2163256 2433663 2704070 3244884 4056105 4326512 4867326 5408140 6489768 8112210 8653024 9734652 10816280 12168315 12979536 16224420 17306048 19469304 21632560 24336630 25959072 32448840 34612096 38938608 43265120 48673260 51918144 64897680 69224192 77877216 86530240 97346520 103836288 129795360 155754432 173060480 194693040 207672576 259590720 311508864 346120960 389386080 519181440 623017728 778772160 1038362880 1557544320 3115088640