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114092874 = 236721597
BaseRepresentation
bin1101100110011…
…10101101001010
321221200112000000
412303032231022
5213201432444
615153223430
72553526200
oct663165512
9257615000
10114092874
1159447735
1232261b76
131a83929c
141121d070
15a03a469
hex6cceb4a

114092874 has 84 divisors (see below), whose sum is σ = 298670994. Its totient is φ = 32577552.

The previous prime is 114092861. The next prime is 114092887. The reversal of 114092874 is 478290411.

It is an interprime number because it is at equal distance from previous prime (114092861) and next prime (114092887).

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 6036849 = 10395^2 + 2457^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70644 + ... + 72240.

Almost surely, 2114092874 is an apocalyptic number.

114092874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114092874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149335497).

114092874 is an abundant number, since it is smaller than the sum of its proper divisors (184578120).

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

114092874 is an equidigital number, since it uses as much as digits as its factorization.

114092874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114092874 is about 10681.4265901143. The cubic root of 114092874 is about 485.0123977417.

The spelling of 114092874 in words is "one hundred fourteen million, ninety-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1597 1701 2646 3194 3402 3969 4791 5103 7938 9582 10206 11179 11907 14373 22358 23814 28746 33537 35721 43119 67074 71442 78253 86238 100611 129357 156506 201222 234759 258714 301833 388071 469518 603666 704277 776142 905499 1164213 1408554 1810998 2112831 2328426 2716497 4225662 5432994 6338493 8149491 12676986 16298982 19015479 38030958 57046437 114092874