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107704320 = 212351753
BaseRepresentation
bin1100110101101…
…11000000000000
321111122221112220
412122313000000
5210033014240
614404251040
72445320523
oct632670000
9244587486
10107704320
1155883939
12300a0a80
1319410489
1410438bba
1596c75d0
hex66b7000

107704320 has 104 divisors (see below), whose sum is σ = 344808336. Its totient is φ = 28704768.

The previous prime is 107704313. The next prime is 107704339. The reversal of 107704320 is 23407701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60564 + ... + 62316.

Almost surely, 2107704320 is an apocalyptic number.

107704320 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 107704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172404168).

107704320 is an abundant number, since it is smaller than the sum of its proper divisors (237104016).

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

107704320 is an equidigital number, since it uses as much as digits as its factorization.

107704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 107704320 is about 10378.0691845834. The cubic root of 107704320 is about 475.7853232454.

The spelling of 107704320 in words is "one hundred seven million, seven hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1753 1920 2048 2560 3072 3506 3840 4096 5120 5259 6144 7012 7680 8765 10240 10518 12288 14024 15360 17530 20480 21036 26295 28048 30720 35060 42072 52590 56096 61440 70120 84144 105180 112192 140240 168288 210360 224384 280480 336576 420720 448768 560960 673152 841440 897536 1121920 1346304 1682880 1795072 2243840 2692608 3365760 3590144 4487680 5385216 6731520 7180288 8975360 10770432 13463040 17950720 21540864 26926080 35901440 53852160 107704320