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10675500 = 2235311647
BaseRepresentation
bin101000101110…
…010100101100
3202002101000220
4220232110230
510213104000
61020451340
7156511623
oct50562454
922071026
1010675500
116031730
1236a9b50
13229a184
1415bc6ba
15e0d1a0
hexa2e52c

10675500 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2584000.

The previous prime is 10675487. The next prime is 10675513. The reversal of 10675500 is 557601.

It is an interprime number because it is at equal distance from previous prime (10675487) and next prime (10675513).

It is a super-2 number, since 2×106755002 = 227932600500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16177 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 210675500 is an apocalyptic number.

10675500 is a gapful number since it is divisible by the number (10) 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 10675500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

10675500 is an abundant number, since it is smaller than the sum of its proper divisors (23290068).

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

10675500 is a wasteful number, since it uses less digits than its factorization.

10675500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10675500 is about 3267.3383663159. The cubic root of 10675500 is about 220.1892311272.

It can be divided in two parts, 10675 and 500, that added together give a triangular number (11175 = T149).

The spelling of 10675500 in words is "ten million, six hundred seventy-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 647 660 750 825 1100 1294 1375 1500 1650 1941 2588 2750 3235 3300 3882 4125 5500 6470 7117 7764 8250 9705 12940 14234 16175 16500 19410 21351 28468 32350 35585 38820 42702 48525 64700 71170 80875 85404 97050 106755 142340 161750 177925 194100 213510 242625 323500 355850 427020 485250 533775 711700 889625 970500 1067550 1779250 2135100 2668875 3558500 5337750 10675500