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6670056420 = 22325172128221
BaseRepresentation
bin1100011011001000…
…01111101111100100
3122012211212222021200
412031210033233210
5102130013301140
63021510242500
7324201354426
oct61544175744
918184788250
106670056420
112913089125
121361956430
13823b52a61
14473bd0816
15290893030
hex18d90fbe4

6670056420 has 108 divisors (see below), whose sum is σ = 21492828084. Its totient is φ = 1674040320.

The previous prime is 6670056401. The next prime is 6670056431. The reversal of 6670056420 is 246500766.

6670056420 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 0 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 313502436 + 6356553984 = 17706^2 + 79728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12091 + ... + 116130.

Almost surely, 26670056420 is an apocalyptic number.

6670056420 is a gapful number since it is divisible by the number (60) 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 6670056420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746414042).

6670056420 is an abundant number, since it is smaller than the sum of its proper divisors (14822771664).

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

6670056420 is a wasteful number, since it uses less digits than its factorization.

6670056420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128270 (or 128248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6670056420 is about 81670.4133698367. The cubic root of 6670056420 is about 1882.3909917144.

The spelling of 6670056420 in words is "six billion, six hundred seventy million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 128221 256442 384663 512884 641105 769326 1153989 1282210 1538652 1923315 2179757 2307978 2564420 3846630 4359514 4615956 5769945 6539271 7693260 8719028 10898785 11539890 13078542 19617813 21797570 23079780 26157084 32696355 37055869 39235626 43595140 65392710 74111738 78471252 98089065 111167607 130785420 148223476 185279345 196178130 222335214 333502821 370558690 392356260 444670428 555838035 667005642 741117380 1111676070 1334011284 1667514105 2223352140 3335028210 6670056420