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116520480 = 2532580917
BaseRepresentation
bin1101111000111…
…11011000100000
322010020212001100
412330133120200
5214312123410
615321234400
72613256566
oct674373040
9263225040
10116520480
115a85561a
1233032a00
131b1a923b
1411691a36
15a3698c0
hex6f1f620

116520480 has 72 divisors (see below), whose sum is σ = 397631052. Its totient is φ = 31071744.

The previous prime is 116520479. The next prime is 116520487. The reversal of 116520480 is 84025611.

116520480 is a `hidden beast` number, since 1 + 1 + 652 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 10265616 = 10308^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116520487) 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, 39019 + ... + 41898.

Almost surely, 2116520480 is an apocalyptic number.

116520480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116520480 is an abundant number, since it is smaller than the sum of its proper divisors (281110572).

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

116520480 is a wasteful number, since it uses less digits than its factorization.

116520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80938 (or 80927 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116520480 is about 10794.4652484502. The cubic root of 116520480 is about 488.4282275358.

The spelling of 116520480 in words is "one hundred sixteen million, five hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 80917 161834 242751 323668 404585 485502 647336 728253 809170 971004 1213755 1294672 1456506 1618340 1942008 2427510 2589344 2913012 3236680 3641265 3884016 4855020 5826024 6473360 7282530 7768032 9710040 11652048 12946720 14565060 19420080 23304096 29130120 38840160 58260240 116520480