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114555104 = 2519297389
BaseRepresentation
bin1101101001111…
…11100011100000
321222120000001122
412310333203200
5213311230404
615211151412
72560462616
oct664774340
9258500048
10114555104
1159732a44
1232445568
131a96b7b1
14112dd6b6
15a0cc3be
hex6d3f8e0

114555104 has 96 divisors (see below), whose sum is σ = 251748000. Its totient is φ = 51093504.

The previous prime is 114555097. The next prime is 114555113. The reversal of 114555104 is 401555411.

It is a congruent number.

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, 1287092 + ... + 1287180.

It is an arithmetic number, because the mean of its divisors is an integer number (2622375).

Almost surely, 2114555104 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 114555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125874000).

114555104 is an abundant number, since it is smaller than the sum of its proper divisors (137192896).

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

114555104 is a wasteful number, since it uses less digits than its factorization.

114555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 114555104 is about 10703.0418106256. The cubic root of 114555104 is about 485.6664999619. Note that the first 3 decimals are identical.

The spelling of 114555104 in words is "one hundred fourteen million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 29 32 38 58 73 76 89 116 146 152 178 232 292 304 356 464 551 584 608 712 928 1102 1168 1387 1424 1691 2117 2204 2336 2581 2774 2848 3382 4234 4408 5162 5548 6497 6764 8468 8816 10324 11096 12994 13528 16936 17632 20648 22192 25988 27056 33872 40223 41296 44384 49039 51976 54112 67744 80446 82592 98078 103952 123443 160892 188413 196156 207904 246886 321784 376826 392312 493772 643568 753652 784624 987544 1287136 1507304 1569248 1975088 3014608 3579847 3950176 6029216 7159694 14319388 28638776 57277552 114555104