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107348992 = 210791327
BaseRepresentation
bin1100110011000…
…00010000000000
321110222220010121
412121200100000
5204440131432
614352510024
72442310552
oct631402000
9243886117
10107348992
1155660983
122bb4b314
131931781a
14103854d2
159657197
hex6660400

107348992 has 44 divisors (see below), whose sum is σ = 217473280. Its totient is φ = 52955136.

The previous prime is 107348933. The next prime is 107349013. The reversal of 107348992 is 299843701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80233 + ... + 81559.

Almost surely, 2107348992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108736640).

107348992 is an abundant number, since it is smaller than the sum of its proper divisors (110124288).

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

107348992 is an equidigital number, since it uses as much as digits as its factorization.

107348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 107348992 is about 10360.9358650655. The cubic root of 107348992 is about 475.2615246818.

The spelling of 107348992 in words is "one hundred seven million, three hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 1327 2528 2654 5056 5308 10112 10616 20224 21232 40448 42464 80896 84928 104833 169856 209666 339712 419332 679424 838664 1358848 1677328 3354656 6709312 13418624 26837248 53674496 107348992