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114492504 = 233737113163
BaseRepresentation
bin1101101001100…
…00010001011000
321222102211012010
412310300101120
5213302230004
615205545520
72560112250
oct664602130
9258384163
10114492504
115969aa05
12324152a0
131a949159
14112c4960
15a0b8a89
hex6d30458

114492504 has 128 divisors (see below), whose sum is σ = 341015040. Its totient is φ = 31352832.

The previous prime is 114492487. The next prime is 114492523. The reversal of 114492504 is 405294411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702327 + ... + 702489.

It is an arithmetic number, because the mean of its divisors is an integer number (2664180).

Almost surely, 2114492504 is an apocalyptic number.

114492504 is a gapful number since it is divisible by the number (14) 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 114492504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170507520).

114492504 is an abundant number, since it is smaller than the sum of its proper divisors (226522536).

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

114492504 is a wasteful number, since it uses less digits than its factorization.

114492504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 114492504 is about 10700.1170087060. The cubic root of 114492504 is about 485.5780177628.

The spelling of 114492504 in words is "one hundred fourteen million, four hundred ninety-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 113 148 163 168 222 226 259 296 326 339 444 452 489 518 652 678 777 791 888 904 978 1036 1141 1304 1356 1554 1582 1956 2072 2282 2373 2712 3108 3164 3423 3912 4181 4564 4746 6031 6216 6328 6846 8362 9128 9492 12062 12543 13692 16724 18093 18419 18984 24124 25086 27384 29267 33448 36186 36838 42217 48248 50172 55257 58534 72372 73676 84434 87801 100344 110514 117068 126651 128933 144744 147352 168868 175602 221028 234136 253302 257866 337736 351204 386799 442056 506604 515732 681503 702408 773598 1013208 1031464 1363006 1547196 2044509 2726012 3094392 4089018 4770521 5452024 8178036 9541042 14311563 16356072 19082084 28623126 38164168 57246252 114492504