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113102640 = 24325722441
BaseRepresentation
bin1101011110111…
…00111100110000
321212211012122200
412233130330300
5212423241030
615120103200
72542233210
oct657347460
9255735580
10113102640
1158930762
1231a64b00
131a580651
1411042240
159de1d60
hex6bdcf30

113102640 has 120 divisors (see below), whose sum is σ = 434118048. Its totient is φ = 25850880.

The previous prime is 113102629. The next prime is 113102653. The reversal of 113102640 is 46201311.

It is a happy number.

113102640 is a `hidden beast` number, since 1 + 13 + 10 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6181 + ... + 16260.

Almost surely, 2113102640 is an apocalyptic number.

113102640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113102640 is an abundant number, since it is smaller than the sum of its proper divisors (321015408).

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

113102640 is a wasteful number, since it uses less digits than its factorization.

113102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22467 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113102640 is about 10634.9724964383. The cubic root of 113102640 is about 483.6051466222.

Adding to 113102640 its reverse (46201311), we get a palindrome (159303951).

The spelling of 113102640 in words is "one hundred thirteen million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 22441 44882 67323 89764 112205 134646 157087 179528 201969 224410 269292 314174 336615 359056 403938 448820 471261 538584 628348 673230 785435 807876 897640 942522 1009845 1077168 1256696 1346460 1413783 1570870 1615752 1795280 1885044 2019690 2356305 2513392 2692920 2827566 3141740 3231504 3770088 4039380 4712610 5385840 5655132 6283480 7068915 7540176 8078760 9425220 11310264 12566960 14137830 16157520 18850440 22620528 28275660 37700880 56551320 113102640