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114546992 = 2472353839
BaseRepresentation
bin1101101001111…
…01100100110000
321222112120221012
412310331210300
5213311000432
615211050052
72560430150
oct664754460
9258476835
10114546992
115972793a
1232440928
131a967bb1
14112da760
15a0c9cb2
hex6d3d930

114546992 has 80 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 46016256.

The previous prime is 114546983. The next prime is 114546997. The reversal of 114546992 is 299645411.

It is not an unprimeable number, because it can be changed into a prime (114546997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136109 + ... + 136947.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2114546992 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 114546992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

114546992 is an abundant number, since it is smaller than the sum of its proper divisors (155435728).

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

114546992 is a wasteful number, since it uses less digits than its factorization.

114546992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 114546992 is about 10702.6628462266. The cubic root of 114546992 is about 485.6550358440.

The spelling of 114546992 in words is "one hundred fourteen million, five hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 839 848 1219 1288 1484 1678 2438 2576 2968 3356 4876 5873 5936 6712 8533 9752 11746 13424 17066 19297 19504 23492 34132 38594 44467 46984 68264 77188 88934 93968 135079 136528 154376 177868 270158 308752 311269 355736 540316 622538 711472 1022741 1080632 1245076 2045482 2161264 2490152 4090964 4980304 7159187 8181928 14318374 16363856 28636748 57273496 114546992