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107014410 = 23256717747
BaseRepresentation
bin1100110000011…
…10100100001010
321110100220011200
412120032210022
5204343430120
614341405030
72436415236
oct630164412
9243326150
10107014410
1155452568
122ba09776
131922b449
14102d95c6
1595dce90
hex660e90a

107014410 has 48 divisors (see below), whose sum is σ = 282406176. Its totient is φ = 28109664.

The previous prime is 107014409. The next prime is 107014417. The reversal of 107014410 is 14410701.

It is a super-2 number, since 2×1070144102 = 22904167895296200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107014417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2844 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (5883462).

Almost surely, 2107014410 is an apocalyptic number.

107014410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107014410 is an abundant number, since it is smaller than the sum of its proper divisors (175391766).

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

107014410 is a wasteful number, since it uses less digits than its factorization.

107014410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107014410 is about 10344.7769429795. The cubic root of 107014410 is about 474.7672506994.

The spelling of 107014410 in words is "one hundred seven million, fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 17747 35494 53241 88735 106482 159723 177470 266205 319446 532410 798615 1189049 1597230 2378098 3567147 5945245 7134294 10701441 11890490 17835735 21402882 35671470 53507205 107014410