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114066260 = 225711174357
BaseRepresentation
bin1101100110010…
…00001101010100
321221122011111022
412303020031110
5213200110020
615152500312
72553355460
oct663101524
9257564438
10114066260
1159429740
123224a698
131a82a139
14112134a0
15a032625
hex6cc8354

114066260 has 96 divisors (see below), whose sum is σ = 316286208. Its totient is φ = 33454080.

The previous prime is 114066191. The next prime is 114066289. The reversal of 114066260 is 62660411.

114066260 = T274 + T275 + ... + T889.

It is a happy number.

It is a super-2 number, since 2×1140662602 = 26022223340775200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24002 + ... + 28358.

It is an arithmetic number, because the mean of its divisors is an integer number (3294648).

Almost surely, 2114066260 is an apocalyptic number.

114066260 is a gapful number since it is divisible by the number (10) 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 114066260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158143104).

114066260 is an abundant number, since it is smaller than the sum of its proper divisors (202219948).

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

114066260 is a wasteful number, since it uses less digits than its factorization.

114066260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 114066260 is about 10680.1807100816. The cubic root of 114066260 is about 484.9746824918.

The spelling of 114066260 in words is "one hundred fourteen million, sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 4357 5236 6545 8714 13090 17428 21785 26180 30499 43570 47927 60998 74069 87140 95854 121996 148138 152495 191708 239635 296276 304990 335489 370345 479270 518483 609980 670978 740690 814759 958540 1036966 1341956 1481380 1629518 1677445 2073932 2592415 3259036 3354890 4073795 5184830 5703313 6709780 8147590 10369660 11406626 16295180 22813252 28516565 57033130 114066260