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107306105480 = 2357254748013
BaseRepresentation
bin110001111101111110…
…0010011101010001000
3101020222100100221210222
41203323330103222020
53224230330333410
6121143514125212
710516100563400
oct1437374235210
9336870327728
10107306105480
1141565554302
1218968720808
13a171370492
14529d4dd800
152bd086b955
hex18fbf13a88

107306105480 has 48 divisors (see below), whose sum is σ = 280857311820. Its totient is φ = 36790664064.

The previous prime is 107306105477. The next prime is 107306105513. The reversal of 107306105480 is 84501603701.

It can be written as a sum of positive squares in 2 ways, for example, as 101362003876 + 5944101604 = 318374^2 + 77098^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107306105480.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27372047 + ... + 27375966.

Almost surely, 2107306105480 is an apocalyptic number.

107306105480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107306105480 is an abundant number, since it is smaller than the sum of its proper divisors (173551206340).

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

107306105480 is a wasteful number, since it uses less digits than its factorization.

107306105480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54748038 (or 54748027 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 107306105480 in words is "one hundred seven billion, three hundred six million, one hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 54748013 109496026 218992052 273740065 383236091 437984104 547480130 766472182 1094960260 1532944364 1916180455 2189920520 2682652637 3065888728 3832360910 5365305274 7664721820 10730610548 13413263185 15329443640 21461221096 26826526370 53653052740 107306105480