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102907344 = 24319532129
BaseRepresentation
bin1100010001000…
…11110111010000
321011122020100010
412020203313100
5202321013334
614113354520
72356461261
oct610436720
9234566303
10102907344
11530a78a1
122a568a40
1318420c27
14d94a968
15907b0e9
hex6223dd0

102907344 has 80 divisors (see below), whose sum is σ = 285249600. Its totient is φ = 31868928.

The previous prime is 102907327. The next prime is 102907351. The reversal of 102907344 is 443709201.

It is a happy number.

It is a congruent number.

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, 47272 + ... + 49400.

It is an arithmetic number, because the mean of its divisors is an integer number (3565620).

Almost surely, 2102907344 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 102907344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142624800).

102907344 is an abundant number, since it is smaller than the sum of its proper divisors (182342256).

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

102907344 is a wasteful number, since it uses less digits than its factorization.

102907344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 102907344 is about 10144.3257045503. The cubic root of 102907344 is about 468.6142129002.

The spelling of 102907344 in words is "one hundred two million, nine hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2129 2544 3021 4028 4258 6042 6387 8056 8516 12084 12774 16112 17032 24168 25548 34064 40451 48336 51096 80902 102192 112837 121353 161804 225674 242706 323608 338511 451348 485412 647216 677022 902696 970824 1354044 1805392 1941648 2143903 2708088 4287806 5416176 6431709 8575612 12863418 17151224 25726836 34302448 51453672 102907344