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114314060 = 22572671741
BaseRepresentation
bin1101101000001…
…00101101001100
321222002202102002
412310010231030
5213231022220
615202051432
72555440100
oct664045514
9258082362
10114314060
1159588933
1232349b78
131a8b5b73
1411279900
15a080c75
hex6d04b4c

114314060 has 72 divisors (see below), whose sum is σ = 283583664. Its totient is φ = 38586240.

The previous prime is 114314041. The next prime is 114314113. The reversal of 114314060 is 60413411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64790 + ... + 66530.

It is an arithmetic number, because the mean of its divisors is an integer number (3938662).

Almost surely, 2114314060 is an apocalyptic number.

114314060 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 114314060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141791832).

114314060 is an abundant number, since it is smaller than the sum of its proper divisors (169269604).

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

114314060 is a wasteful number, since it uses less digits than its factorization.

114314060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 114314060 is about 10691.7753436929. The cubic root of 114314060 is about 485.3256183027.

Adding to 114314060 its reverse (60413411), we get a palindrome (174727471).

The spelling of 114314060 in words is "one hundred fourteen million, three hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 1340 1741 1876 2345 3283 3482 4690 6566 6964 8705 9380 12187 13132 16415 17410 24374 32830 34820 48748 60935 65660 85309 116647 121870 170618 233294 243740 341236 426545 466588 583235 816529 853090 1166470 1633058 1706180 2332940 3266116 4082645 5715703 8165290 11431406 16330580 22862812 28578515 57157030 114314060