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103307264 = 21173691
BaseRepresentation
bin1100010100001…
…01100000000000
321012101112220222
412022011200000
5202421313024
614130122212
72363045234
oct612054000
9235345828
10103307264
1153350305
122a720368
1318530c78
14da125c4
15910985e
hex6285800

103307264 has 48 divisors (see below), whose sum is σ = 209696760. Its totient is φ = 50872320.

The previous prime is 103307227. The next prime is 103307291. The reversal of 103307264 is 462703301.

It is a congruent number.

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, 149159 + ... + 149849.

Almost surely, 2103307264 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 103307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104848380).

103307264 is an abundant number, since it is smaller than the sum of its proper divisors (106389496).

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

103307264 is an frugal number, since it uses more digits than its factorization.

103307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 103307264 is about 10164.0181030929. The cubic root of 103307264 is about 469.2204733220.

The spelling of 103307264 in words is "one hundred three million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 691 1024 1168 1382 2048 2336 2764 4672 5528 9344 11056 18688 22112 37376 44224 50443 74752 88448 100886 149504 176896 201772 353792 403544 707584 807088 1415168 1614176 3228352 6456704 12913408 25826816 51653632 103307264