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114356460 = 223523173479
BaseRepresentation
bin1101101000011…
…11000011101100
321222011220120110
412310033003230
5213233401320
615203020020
72556004521
oct664170354
9258156513
10114356460
1159607779
123236a610
131a8cc25a
141128b148
15a08d5e0
hex6d0f0ec

114356460 has 96 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 28940032.

The previous prime is 114356441. The next prime is 114356491. The reversal of 114356460 is 64653411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 238501 + ... + 238979.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2114356460 is an apocalyptic number.

114356460 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 114356460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

114356460 is an abundant number, since it is smaller than the sum of its proper divisors (222396180).

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

114356460 is a wasteful number, since it uses less digits than its factorization.

114356460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 114356460 is about 10693.7579923991. The cubic root of 114356460 is about 485.3856146047.

The spelling of 114356460 in words is "one hundred fourteen million, three hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 173 230 276 345 346 460 479 519 690 692 865 958 1038 1380 1437 1730 1916 2076 2395 2595 2874 3460 3979 4790 5190 5748 7185 7958 9580 10380 11017 11937 14370 15916 19895 22034 23874 28740 33051 39790 44068 47748 55085 59685 66102 79580 82867 110170 119370 132204 165255 165734 220340 238740 248601 330510 331468 414335 497202 661020 828670 994404 1243005 1657340 1905941 2486010 3811882 4972020 5717823 7623764 9529705 11435646 19059410 22871292 28589115 38118820 57178230 114356460