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10570001680 = 245722696429
BaseRepresentation
bin10011101100000010…
…10110110100010000
31000021122022201102201
421312001112310100
5133121410023210
64504503452544
7522635350300
oct116601266420
930248281381
1010570001680
114534543787
12206ba57154
13cc5b11a84
14723b3b600
1541ce5253a
hex276056d10

10570001680 has 60 divisors (see below), whose sum is σ = 28587550860. Its totient is φ = 3623999232.

The previous prime is 10570001671. The next prime is 10570001683. The reversal of 10570001680 is 8610007501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6579805456 + 3990196224 = 81116^2 + 63168^2 .

It is a super-2 number, since 2×105700016802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10570001683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344295 + ... + 1352134.

It is an arithmetic number, because the mean of its divisors is an integer number (476459181).

Almost surely, 210570001680 is an apocalyptic number.

10570001680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10570001680 is an abundant number, since it is smaller than the sum of its proper divisors (18017549180).

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

10570001680 is a wasteful number, since it uses less digits than its factorization.

10570001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696456 (or 2696443 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10570001680 in words is "ten billion, five hundred seventy million, one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 2696429 5392858 10785716 13482145 18875003 21571432 26964290 37750006 43142864 53928580 75500012 94375015 107857160 132125021 151000024 188750030 215714320 264250042 302000048 377500060 528500084 660625105 755000120 1057000168 1321250210 1510000240 2114000336 2642500420 5285000840 10570001680