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10674320 = 2452943107
BaseRepresentation
bin101000101110…
…000010010000
3202002022102012
4220232002100
510213034240
61020442052
7156505316
oct50560220
922068365
1010674320
116030858
1236a9328
132299787
1415bc0b6
15e0cb65
hexa2e090

10674320 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3988992.

The previous prime is 10674299. The next prime is 10674337. The reversal of 10674320 is 2347601.

10674320 = 1072 + 1082 + ... + 3212.

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

It is a super-2 number, since 2×106743202 = 227882214924800, which contains 22 as substring.

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, 99707 + ... + 99813.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 210674320 is an apocalyptic number.

10674320 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 10674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10674320 is an abundant number, since it is smaller than the sum of its proper divisors (15841840).

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

10674320 is a wasteful number, since it uses less digits than its factorization.

10674320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10674320 is about 3267.1577862111. The cubic root of 10674320 is about 220.1811180687.

The spelling of 10674320 in words is "ten million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 107 116 145 172 214 215 232 290 344 428 430 464 535 580 688 856 860 1070 1160 1247 1712 1720 2140 2320 2494 3103 3440 4280 4601 4988 6206 6235 8560 9202 9976 12412 12470 15515 18404 19952 23005 24824 24940 31030 36808 46010 49648 49880 62060 73616 92020 99760 124120 133429 184040 248240 266858 368080 533716 667145 1067432 1334290 2134864 2668580 5337160 10674320