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115400460 = 22357594657
BaseRepresentation
bin1101110000011…
…01111100001100
322001010221200010
412320031330030
5214020303320
615241233220
72600613330
oct670157414
9261127603
10115400460
115a16008a
1232792810
131aba64c6
141147d7c0
15a1e7ae0
hex6e0df0c

115400460 has 96 divisors (see below), whose sum is σ = 375621120. Its totient is φ = 25924608.

The previous prime is 115400431. The next prime is 115400497. The reversal of 115400460 is 64004511.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 22452 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (3912720).

Almost surely, 2115400460 is an apocalyptic number.

115400460 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 115400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810560).

115400460 is an abundant number, since it is smaller than the sum of its proper divisors (260220660).

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

115400460 is a wasteful number, since it uses less digits than its factorization.

115400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 115400460 is about 10742.4606119827. The cubic root of 115400460 is about 486.8582271677.

Adding to 115400460 its reverse (64004511), we get a palindrome (179404971).

The spelling of 115400460 in words is "one hundred fifteen million, four hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4657 4956 6195 8260 9314 12390 13971 18628 23285 24780 27942 32599 46570 55884 65198 69855 93140 97797 130396 139710 162995 195594 274763 279420 325990 391188 488985 549526 651980 824289 977970 1099052 1373815 1648578 1923341 1955940 2747630 3297156 3846682 4121445 5495260 5770023 7693364 8242890 9616705 11540046 16485780 19233410 23080092 28850115 38466820 57700230 115400460