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10676120 = 2357213419
BaseRepresentation
bin101000101110…
…011110011000
3202002101212212
4220232132120
510213113440
61020454252
7156513500
oct50563630
922071785
1010676120
116032144
1236aa388
13229a540
1415bca00
15e0d465
hexa2e798

10676120 has 96 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 3370752.

The previous prime is 10676101. The next prime is 10676129. The reversal of 10676120 is 2167601.

10676120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106761202 = 227959076508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25271 + ... + 25689.

Almost surely, 210676120 is an apocalyptic number.

10676120 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 10676120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

10676120 is an abundant number, since it is smaller than the sum of its proper divisors (19488280).

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

10676120 is a wasteful number, since it uses less digits than its factorization.

10676120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10676120 is about 3267.4332433885. The cubic root of 10676120 is about 220.1934936810.

The spelling of 10676120 in words is "ten million, six hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 419 455 490 520 637 728 838 910 980 1274 1676 1820 1960 2095 2548 2933 3185 3352 3640 4190 5096 5447 5866 6370 8380 10894 11732 12740 14665 16760 20531 21788 23464 25480 27235 29330 38129 41062 43576 54470 58660 76258 82124 102655 108940 117320 152516 164248 190645 205310 217880 266903 305032 381290 410620 533806 762580 821240 1067612 1334515 1525160 2135224 2669030 5338060 10676120