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107614720 = 295127331
BaseRepresentation
bin1100110101000…
…01001000000000
321111111101122101
412122201020000
5210022132340
614402320144
72444465353
oct632411000
9244441571
10107614720
1155822594
1230059054
13193ab765
141041429a
1596aac9a
hex66a1200

107614720 has 80 divisors (see below), whose sum is σ = 260840448. Its totient is φ = 42577920.

The previous prime is 107614711. The next prime is 107614739. The reversal of 107614720 is 27416701.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324955 + ... + 325285.

Almost surely, 2107614720 is an apocalyptic number.

107614720 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 107614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130420224).

107614720 is an abundant number, since it is smaller than the sum of its proper divisors (153225728).

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

107614720 is an equidigital number, since it uses as much as digits as its factorization.

107614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 107614720 is about 10373.7514911434. The cubic root of 107614720 is about 475.6533502291.

The spelling of 107614720 in words is "one hundred seven million, six hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 331 508 512 635 640 662 1016 1270 1280 1324 1655 2032 2540 2560 2648 3310 4064 5080 5296 6620 8128 10160 10592 13240 16256 20320 21184 26480 32512 40640 42037 42368 52960 65024 81280 84074 84736 105920 162560 168148 169472 210185 211840 325120 336296 420370 423680 672592 840740 847360 1345184 1681480 2690368 3362960 5380736 6725920 10761472 13451840 21522944 26903680 53807360 107614720