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114716520 = 23335106219
BaseRepresentation
bin1101101011001…
…10111101101000
321222212012111000
412311212331220
5213331412040
615214435000
72562034332
oct665467550
9258765430
10114716520
1159833246
1232502a60
131a9c70c9
1411342452
15a110130
hex6d66f68

114716520 has 64 divisors (see below), whose sum is σ = 382392000. Its totient is φ = 30590784.

The previous prime is 114716501. The next prime is 114716521. The reversal of 114716520 is 25617411.

It is a happy number.

114716520 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 1 + 652 + 0 = 666.

It is a super-4 number, since 4×1147165204 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114716521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52030 + ... + 54189.

It is an arithmetic number, because the mean of its divisors is an integer number (5974875).

Almost surely, 2114716520 is an apocalyptic number.

114716520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114716520 is an abundant number, since it is smaller than the sum of its proper divisors (267675480).

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

114716520 is a wasteful number, since it uses less digits than its factorization.

114716520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106239 (or 106229 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114716520 is about 10710.5798162378. The cubic root of 114716520 is about 485.8945053754.

The spelling of 114716520 in words is "one hundred fourteen million, seven hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 106219 212438 318657 424876 531095 637314 849752 955971 1062190 1274628 1593285 1911942 2124380 2549256 2867913 3186570 3823884 4248760 4779855 5735826 6373140 7647768 9559710 11471652 12746280 14339565 19119420 22943304 28679130 38238840 57358260 114716520