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111666640 = 2457319121
BaseRepresentation
bin1101010011111…
…10010111010000
321210010020211111
412221332113100
5212041313030
615025223104
72524102501
oct651762720
9253106744
10111666640
115803a888
1231491a94
131a199b47
1410b8aba8
159c0b62a
hex6a7e5d0

111666640 has 40 divisors (see below), whose sum is σ = 263195208. Its totient is φ = 44052480.

The previous prime is 111666631. The next prime is 111666649. The reversal of 111666640 is 46666111.

It is an interprime number because it is at equal distance from previous prime (111666631) and next prime (111666649).

It can be written as a sum of positive squares in 4 ways, for example, as 32171584 + 79495056 = 5672^2 + 8916^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111666649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3721 + ... + 15400.

Almost surely, 2111666640 is an apocalyptic number.

111666640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111666640 is an abundant number, since it is smaller than the sum of its proper divisors (151528568).

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

111666640 is a wasteful number, since it uses less digits than its factorization.

111666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19207 (or 19201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 111666640 is about 10567.2437276709. The cubic root of 111666640 is about 481.5497364790.

The spelling of 111666640 in words is "one hundred eleven million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 19121 38242 76484 95605 152968 191210 305936 382420 764840 1395833 1529680 2791666 5583332 6979165 11166664 13958330 22333328 27916660 55833320 111666640