Search a number
-
+
107313480 = 23325298093
BaseRepresentation
bin1100110010101…
…11100101001000
321110221002102100
412121113211020
5204433012410
614352033400
72442102201
oct631274510
9243832370
10107313480
115563722a
122bb32860
1319304601
14103765a8
15964b8c0
hex6657948

107313480 has 48 divisors (see below), whose sum is σ = 348769980. Its totient is φ = 28616832.

The previous prime is 107313473. The next prime is 107313487. The reversal of 107313480 is 84313701.

It is an interprime number because it is at equal distance from previous prime (107313473) and next prime (107313487).

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 2414916 = 10242^2 + 1554^2 .

It is not an unprimeable number, because it can be changed into a prime (107313487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148687 + ... + 149406.

Almost surely, 2107313480 is an apocalyptic number.

107313480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107313480 is an abundant number, since it is smaller than the sum of its proper divisors (241456500).

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

107313480 is a wasteful number, since it uses less digits than its factorization.

107313480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298110 (or 298103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107313480 is about 10359.2219785078. The cubic root of 107313480 is about 475.2091119907.

The spelling of 107313480 in words is "one hundred seven million, three hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 298093 596186 894279 1192372 1490465 1788558 2384744 2682837 2980930 3577116 4471395 5365674 5961860 7154232 8942790 10731348 11923720 13414185 17885580 21462696 26828370 35771160 53656740 107313480