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114003876 = 223719611171
BaseRepresentation
bin1101100101110…
…00111110100100
321221111222220210
412302320332210
5213141111001
615151255420
72553005550
oct662707644
9257458823
10114003876
1159396888
123221a570
131a80791c
14111d8860
15a01ddd6
hex6cb8fa4

114003876 has 96 divisors (see below), whose sum is σ = 325534720. Its totient is φ = 30326400.

The previous prime is 114003803. The next prime is 114003907. The reversal of 114003876 is 678300411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96771 + ... + 97941.

Almost surely, 2114003876 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 114003876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162767360).

114003876 is an abundant number, since it is smaller than the sum of its proper divisors (211530844).

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

114003876 is a wasteful number, since it uses less digits than its factorization.

114003876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114003876 is about 10677.2597608188. The cubic root of 114003876 is about 484.8862538370.

The spelling of 114003876 in words is "one hundred fourteen million, three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 61 76 84 114 122 133 183 228 244 266 366 399 427 532 732 798 854 1159 1171 1281 1596 1708 2318 2342 2562 3477 3513 4636 4684 5124 6954 7026 8113 8197 13908 14052 16226 16394 22249 24339 24591 32452 32788 44498 48678 49182 66747 71431 88996 97356 98364 133494 142862 155743 214293 266988 285724 311486 428586 467229 500017 622972 857172 934458 1000034 1357189 1500051 1868916 2000068 2714378 3000102 4071567 5428756 6000204 8143134 9500323 16286268 19000646 28500969 38001292 57001938 114003876