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118680048 = 24326712301
BaseRepresentation
bin1110001001011…
…10100111110000
322021022120102100
413010232213300
5220340230143
615435420400
72640522654
oct704564760
9267276370
10118680048
1160aa0093
12338b4700
131b7841a6
1411a94a64
15a6446d3
hex712e9f0

118680048 has 60 divisors (see below), whose sum is σ = 337124008. Its totient is φ = 38966400.

The previous prime is 118680047. The next prime is 118680049. The reversal of 118680048 is 840086811.

It is an interprime number because it is at equal distance from previous prime (118680047) and next prime (118680049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 118679994 and 118680021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118680047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3498 + ... + 15798.

Almost surely, 2118680048 is an apocalyptic number.

118680048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168562004).

118680048 is an abundant number, since it is smaller than the sum of its proper divisors (218443960).

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

118680048 is a wasteful number, since it uses less digits than its factorization.

118680048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 118680048 is about 10894.0372681573. The cubic root of 118680048 is about 491.4272534024.

The spelling of 118680048 in words is "one hundred eighteen million, six hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 12301 24602 36903 49204 73806 98408 110709 147612 196816 221418 295224 442836 590448 824167 885672 1648334 1771344 2472501 3296668 4945002 6593336 7417503 9890004 13186672 14835006 19780008 29670012 39560016 59340024 118680048