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3082870520 = 235292113811
BaseRepresentation
bin1011011111000000…
…1101111011111000
321221211222001022122
42313300031323320
522303203324040
61225524340412
7136252652462
oct26760157370
97854861278
103082870520
111342222284
12720544708
133a190b352
14213619132
151309b31b5
hexb7c0def8

3082870520 has 96 divisors (see below), whose sum is σ = 7256405520. Its totient is φ = 1178634240.

The previous prime is 3082870507. The next prime is 3082870523. The reversal of 3082870520 is 250782803.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082870523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3800915 + ... + 3801725.

Almost surely, 23082870520 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 3082870520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628202760).

3082870520 is an abundant number, since it is smaller than the sum of its proper divisors (4173535000).

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

3082870520 is a wasteful number, since it uses less digits than its factorization.

3082870520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 3082870520 is about 55523.6032692404. The cubic root of 3082870520 is about 1455.4091298381.

The spelling of 3082870520 in words is "three billion, eighty-two million, eight hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 811 841 904 1130 1160 1622 1682 2260 3244 3277 3364 4055 4205 4520 6488 6554 6728 8110 8410 13108 16220 16385 16820 23519 26216 32440 32770 33640 47038 65540 91643 94076 95033 117595 131080 183286 188152 190066 235190 366572 380132 458215 470380 475165 682051 733144 760264 916430 940760 950330 1364102 1832860 1900660 2657647 2728204 3410255 3665720 3801320 5315294 5456408 6820510 10630588 13288235 13641020 21261176 26576470 27282040 53152940 77071763 106305880 154143526 308287052 385358815 616574104 770717630 1541435260 3082870520