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686102640 = 24353897349
BaseRepresentation
bin101000111001010…
…001100001110000
31202211000121212220
4220321101201300
52401120241030
6152025321040
723000530146
oct5071214160
91684017786
10686102640
11322318083
12171936180
13ac1b48c2
146719b596
1540379a10
hex28e51870

686102640 has 80 divisors (see below), whose sum is σ = 2132676000. Its totient is φ = 182465536.

The previous prime is 686102617. The next prime is 686102657. The reversal of 686102640 is 46201686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6861026402 = 941473665229939200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89686 + ... + 97034.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2686102640 is an apocalyptic number.

686102640 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 686102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066338000).

686102640 is an abundant number, since it is smaller than the sum of its proper divisors (1446573360).

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

686102640 is a wasteful number, since it uses less digits than its factorization.

686102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 686102640 is about 26193.5610408360. The cubic root of 686102640 is about 881.9887185480.

The spelling of 686102640 in words is "six hundred eighty-six million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 389 778 1167 1556 1945 2334 3112 3890 4668 5835 6224 7349 7780 9336 11670 14698 15560 18672 22047 23340 29396 31120 36745 44094 46680 58792 73490 88188 93360 110235 117584 146980 176376 220470 293960 352752 440940 587920 881880 1763760 2858761 5717522 8576283 11435044 14293805 17152566 22870088 28587610 34305132 42881415 45740176 57175220 68610264 85762830 114350440 137220528 171525660 228700880 343051320 686102640