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107312880 = 2435447137
BaseRepresentation
bin1100110010101…
…11011011110000
321110221001121010
412121113123300
5204433003010
614352030520
72442100353
oct631273360
9243831533
10107312880
1155636834
122bb32440
131930425c
141037629a
15964b620
hex66576f0

107312880 has 40 divisors (see below), whose sum is σ = 332670672. Its totient is φ = 28616704.

The previous prime is 107312869. The next prime is 107312903. The reversal of 107312880 is 88213701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 223329 + ... + 223808.

Almost surely, 2107312880 is an apocalyptic number.

107312880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107312880 is an abundant number, since it is smaller than the sum of its proper divisors (225357792).

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

107312880 is a wasteful number, since it uses less digits than its factorization.

107312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447153 (or 447147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 107312880 is about 10359.1930187636. The cubic root of 107312880 is about 475.2082263424.

The spelling of 107312880 in words is "one hundred seven million, three hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 447137 894274 1341411 1788548 2235685 2682822 3577096 4471370 5365644 6707055 7154192 8942740 10731288 13414110 17885480 21462576 26828220 35770960 53656440 107312880