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107415 = 32571131
BaseRepresentation
bin11010001110010111
312110100100
4122032113
511414130
62145143
7625110
oct321627
9173310
10107415
1173780
12521b3
1339b79
142b207
1521c60
hex1a397

107415 has 48 divisors (see below), whose sum is σ = 239616. Its totient is φ = 43200.

The previous prime is 107377. The next prime is 107441. The reversal of 107415 is 514701.

107415 = 812 + 822 + ... + 942.

It is not a de Polignac number, because 107415 - 26 = 107351 is a prime.

107415 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2107415 is an apocalyptic number.

107415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107415 is an abundant number, since it is smaller than the sum of its proper divisors (132201).

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

107415 is a wasteful number, since it uses less digits than its factorization.

107415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107415 is about 327.7422767969. The cubic root of 107415 is about 47.5358916172.

It can be divided in two parts, 1074 and 15, that multiplied together give a triangular number (16110 = T179).

The spelling of 107415 in words is "one hundred seven thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 31 33 35 45 55 63 77 93 99 105 155 165 217 231 279 315 341 385 465 495 651 693 1023 1085 1155 1395 1705 1953 2387 3069 3255 3465 5115 7161 9765 11935 15345 21483 35805 107415