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107094260 = 225713192163
BaseRepresentation
bin1100110001000…
…10000011110100
321110111221201002
412120202003310
5204404004020
614343222432
72440200110
oct630420364
9243457632
10107094260
11554a7559
122ba47a18
13192588b0
141031a740
159606975
hex66220f4

107094260 has 144 divisors (see below), whose sum is σ = 293924736. Its totient is φ = 31912704.

The previous prime is 107094259. The next prime is 107094277. The reversal of 107094260 is 62490701.

It is a super-2 number, since 2×1070942602 = 22938361049895200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656939 + ... + 657101.

It is an arithmetic number, because the mean of its divisors is an integer number (2041144).

Almost surely, 2107094260 is an apocalyptic number.

107094260 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 107094260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146962368).

107094260 is an abundant number, since it is smaller than the sum of its proper divisors (186830476).

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

107094260 is a wasteful number, since it uses less digits than its factorization.

107094260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 107094260 is about 10348.6356588683. The cubic root of 107094260 is about 474.8853056413.

The spelling of 107094260 in words is "one hundred seven million, ninety-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 163 182 190 247 260 266 326 361 364 380 455 494 532 652 665 722 815 910 988 1141 1235 1330 1444 1630 1729 1805 1820 2119 2282 2470 2527 2660 3097 3260 3458 3610 4238 4564 4693 4940 5054 5705 6194 6916 7220 8476 8645 9386 10108 10595 11410 12388 12635 14833 15485 17290 18772 21190 21679 22820 23465 25270 29666 30970 32851 34580 40261 42380 43358 46930 50540 58843 59332 61940 65702 74165 80522 86716 93860 108395 117686 131404 148330 161044 164255 201305 216790 235372 281827 294215 296660 328510 402610 411901 433580 563654 588430 657020 764959 805220 823802 1127308 1176860 1409135 1529918 1647604 2059505 2818270 3059836 3824795 4119010 5354713 5636540 7649590 8238020 10709426 15299180 21418852 26773565 53547130 107094260