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114004660 = 225711181409
BaseRepresentation
bin1101100101110…
…01001010110100
321221112000222211
412302321022310
5213141122120
615151303204
72553011050
oct662711264
9257460884
10114004660
1159397430
123221ab04
131a8080a3
14111d8c60
15a01e25a
hex6cb92b4

114004660 has 96 divisors (see below), whose sum is σ = 300867840. Its totient is φ = 35251200.

The previous prime is 114004651. The next prime is 114004679. The reversal of 114004660 is 66400411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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, 278536 + ... + 278944.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2114004660 is an apocalyptic number.

114004660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114004660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433920).

114004660 is an abundant number, since it is smaller than the sum of its proper divisors (186863180).

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

114004660 is a wasteful number, since it uses less digits than its factorization.

114004660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 114004660 is about 10677.2964742954. The cubic root of 114004660 is about 484.8873653487.

The spelling of 114004660 in words is "one hundred fourteen million, four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 385 409 724 770 818 905 1267 1540 1636 1810 1991 2045 2534 2863 3620 3982 4090 4499 5068 5726 6335 7964 8180 8998 9955 11452 12670 13937 14315 17996 19910 22495 25340 27874 28630 31493 39820 44990 55748 57260 62986 69685 74029 89980 125972 139370 148058 157465 278740 296116 314930 370145 518203 629860 740290 814319 1036406 1480580 1628638 2072812 2591015 3257276 4071595 5182030 5700233 8143190 10364060 11400466 16286380 22800932 28501165 57002330 114004660