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1020694688 = 2513171011429
BaseRepresentation
bin111100110101101…
…001000010100000
32122010121122212222
4330311221002200
54042244212223
6245141010212
734202522156
oct7465510240
92563548788
101020694688
11484179032
122459b3968
13133604870
14997b73d6
155e91d0c8
hex3cd690a0

1020694688 has 96 divisors (see below), whose sum is σ = 2315673360. Its totient is φ = 438681600.

The previous prime is 1020694663. The next prime is 1020694693. The reversal of 1020694688 is 8864960201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 494083984 + 526610704 = 22228^2 + 22948^2 .

It is a super-2 number, since 2×10206946882 = 2083635292222834688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713558 + ... + 714986.

Almost surely, 21020694688 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 1020694688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157836680).

1020694688 is an abundant number, since it is smaller than the sum of its proper divisors (1294978672).

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

1020694688 is a wasteful number, since it uses less digits than its factorization.

1020694688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 1020694688 is about 31948.3127567013. The cubic root of 1020694688 is about 1006.8511834238.

The spelling of 1020694688 in words is "one billion, twenty million, six hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 101 104 136 202 208 221 272 404 416 442 544 808 884 1313 1429 1616 1717 1768 2626 2858 3232 3434 3536 5252 5716 6868 7072 10504 11432 13736 18577 21008 22321 22864 24293 27472 37154 42016 44642 45728 48586 54944 74308 89284 97172 144329 148616 178568 194344 288658 297232 315809 357136 388688 577316 594464 631618 714272 777376 1154632 1263236 1876277 2309264 2453593 2526472 3752554 4618528 4907186 5052944 7505108 9814372 10105888 15010216 19628744 30020432 31896709 39257488 60040864 63793418 78514976 127586836 255173672 510347344 1020694688