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7020803628 = 22377910159
BaseRepresentation
bin1101000100111100…
…01111011000101100
3200010021212210000000
412202132033120230
5103334311204003
63120400104300
7335660563146
oct64236173054
920107783000
107020803628
112a83073753
12143b305090
1387b70b097
144a8613c96
152b15781a3
hex1a278f62c

7020803628 has 96 divisors (see below), whose sum is σ = 18661888000. Its totient is φ = 2310416784.

The previous prime is 7020803627. The next prime is 7020803683. The reversal of 7020803628 is 8263080207.

It is a happy number.

7020803628 is a `hidden beast` number, since 7 + 0 + 20 + 8 + 0 + 3 + 628 = 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 = 7020803592 and 7020803601.

It is not an unprimeable number, because it can be changed into a prime (7020803623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686013 + ... + 696171.

Almost surely, 27020803628 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 7020803628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330944000).

7020803628 is an abundant number, since it is smaller than the sum of its proper divisors (11641084372).

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

7020803628 is a wasteful number, since it uses less digits than its factorization.

7020803628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7020803628 is about 83790.2358750708. The cubic root of 7020803628 is about 1914.8243518154.

The spelling of 7020803628 in words is "seven billion, twenty million, eight hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 729 948 972 1422 1458 2133 2187 2844 2916 4266 4374 6399 8532 8748 10159 12798 19197 20318 25596 30477 38394 40636 57591 60954 76788 91431 115182 121908 172773 182862 230364 274293 345546 365724 548586 691092 802561 822879 1097172 1605122 1645758 2407683 2468637 3210244 3291516 4815366 4937274 7223049 7405911 9630732 9874548 14446098 14811822 21669147 22217733 28892196 29623644 43338294 44435466 65007441 86676588 88870932 130014882 195022323 260029764 390044646 585066969 780089292 1170133938 1755200907 2340267876 3510401814 7020803628