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114150504 = 23313569643
BaseRepresentation
bin1101100110111…
…00110001101000
321221210110001110
412303130301220
5213210304004
615154350320
72554156206
oct663346150
9257713043
10114150504
1159486a66
123228b3a0
131a8595a0
1411236076
15a04c589
hex6cdcc68

114150504 has 64 divisors (see below), whose sum is σ = 308347200. Its totient is φ = 35006976.

The previous prime is 114150493. The next prime is 114150523. The reversal of 114150504 is 405051411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177207 + ... + 177849.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925).

Almost surely, 2114150504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114150504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173600).

114150504 is an abundant number, since it is smaller than the sum of its proper divisors (194196696).

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

114150504 is a wasteful number, since it uses less digits than its factorization.

114150504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 114150504 is about 10684.1239229054. The cubic root of 114150504 is about 485.0940463104.

The spelling of 114150504 in words is "one hundred fourteen million, one hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 569 643 1138 1286 1707 1929 2276 2572 3414 3858 4552 5144 6828 7397 7716 8359 13656 14794 15432 16718 22191 25077 29588 33436 44382 50154 59176 66872 88764 100308 177528 200616 365867 731734 1097601 1463468 2195202 2926936 4390404 4756271 8780808 9512542 14268813 19025084 28537626 38050168 57075252 114150504