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107410496 = 261924649
BaseRepresentation
bin1100110011011…
…11010001000000
321111010000111112
412121233101000
5204444113441
614354102452
72442655064
oct631572100
9244100445
10107410496
11556a3106
122bb7aa28
131933980b
141039daa4
15966a4eb
hex666f440

107410496 has 42 divisors (see below), whose sum is σ = 224999550. Its totient is φ = 50867712.

The previous prime is 107410441. The next prime is 107410601. The reversal of 107410496 is 694014701.

It can be written as a sum of positive squares in only one way, i.e., 106832896 + 577600 = 10336^2 + 760^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20780 + ... + 25428.

Almost surely, 2107410496 is an apocalyptic number.

107410496 is a gapful number since it is divisible by the number (16) 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 107410496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112499775).

107410496 is an abundant number, since it is smaller than the sum of its proper divisors (117589054).

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

107410496 is an equidigital number, since it uses as much as digits as its factorization.

107410496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 107410496 is about 10363.9035117083. The cubic root of 107410496 is about 475.3522720149.

The spelling of 107410496 in words is "one hundred seven million, four hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 4649 5776 9298 11552 18596 23104 37192 74384 88331 148768 176662 297536 353324 706648 1413296 1678289 2826592 3356578 5653184 6713156 13426312 26852624 53705248 107410496