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114872004 = 223213279239
BaseRepresentation
bin1101101100011…
…00111011000100
322000011002202200
412312030323010
5213401401004
615222034500
72563252542
oct666147304
9260132680
10114872004
115992a045
1232578a30
131aa4cb00
1411382d92
15a141239
hex6d8cec4

114872004 has 108 divisors (see below), whose sum is σ = 319737600. Its totient is φ = 34751808.

The previous prime is 114872003. The next prime is 114872039. The reversal of 114872004 is 400278411.

It is not an unprimeable number, because it can be changed into a prime (114872003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480517 + ... + 480755.

Almost surely, 2114872004 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 114872004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

114872004 is an abundant number, since it is smaller than the sum of its proper divisors (204865596).

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

114872004 is a wasteful number, since it uses less digits than its factorization.

114872004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114872004 is about 10717.8357890014. The cubic root of 114872004 is about 486.1139294961.

The spelling of 114872004 in words is "one hundred fourteen million, eight hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 169 234 237 239 316 338 468 474 478 507 676 711 717 948 956 1014 1027 1422 1434 1521 2028 2054 2151 2844 2868 3042 3081 3107 4108 4302 6084 6162 6214 8604 9243 9321 12324 12428 13351 18486 18642 18881 26702 27963 36972 37284 37762 40053 40391 53404 55926 56643 75524 80106 80782 111852 113286 120159 121173 160212 161564 169929 226572 240318 242346 245453 339858 363519 480636 484692 490906 679716 727038 736359 981812 1454076 1472718 2209077 2945436 3190889 4418154 6381778 8836308 9572667 12763556 19145334 28718001 38290668 57436002 114872004