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107503074 = 23275914461
BaseRepresentation
bin1100110100001…
…01110111100010
321111021201111100
412122011313202
5210010044244
614400055230
72443522020
oct632056742
9244251440
10107503074
1155756718
1230004516
131936c9b3
14103c5710
159687b69
hex6685de2

107503074 has 48 divisors (see below), whose sum is σ = 270728640. Its totient is φ = 30192480.

The previous prime is 107503073. The next prime is 107503079. The reversal of 107503074 is 470305701.

It is not an unprimeable number, because it can be changed into a prime (107503073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204 + ... + 14664.

It is an arithmetic number, because the mean of its divisors is an integer number (5640180).

Almost surely, 2107503074 is an apocalyptic number.

107503074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107503074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135364320).

107503074 is an abundant number, since it is smaller than the sum of its proper divisors (163225566).

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

107503074 is a wasteful number, since it uses less digits than its factorization.

107503074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107503074 is about 10368.3689170477. The cubic root of 107503074 is about 475.4888028226.

Adding to 107503074 its reverse (470305701), we get a palindrome (577808775).

It can be divided in two parts, 10750 and 3074, that added together give a cube (13824 = 243).

The spelling of 107503074 in words is "one hundred seven million, five hundred three thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7434 14461 28922 43383 86766 101227 130149 202454 260298 303681 607362 853199 911043 1706398 1822086 2559597 5119194 5972393 7678791 11944786 15357582 17917179 35834358 53751537 107503074