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114058620 = 223251379617
BaseRepresentation
bin1101100110001…
…10010101111100
321221121210000100
412303012111330
5213144333440
615152401100
72553324264
oct663062574
9257553010
10114058620
1159423a25
1232246190
131a826810
14112107a4
15a030230
hex6cc657c

114058620 has 144 divisors (see below), whose sum is σ = 377919360. Its totient is φ = 27675648.

The previous prime is 114058619. The next prime is 114058639. The reversal of 114058620 is 26850411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184552 + ... + 185168.

It is an arithmetic number, because the mean of its divisors is an integer number (2624440).

Almost surely, 2114058620 is an apocalyptic number.

114058620 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 114058620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188959680).

114058620 is an abundant number, since it is smaller than the sum of its proper divisors (263860740).

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

114058620 is a wasteful number, since it uses less digits than its factorization.

114058620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114058620 is about 10679.8230322417. The cubic root of 114058620 is about 484.9638546060.

The spelling of 114058620 in words is "one hundred fourteen million, fifty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 617 711 780 790 948 1027 1170 1185 1234 1422 1580 1851 2054 2340 2370 2468 2844 3081 3085 3555 3702 4108 4740 5135 5553 6162 6170 7110 7404 8021 9243 9255 10270 11106 12324 12340 14220 15405 16042 18486 18510 20540 22212 24063 27765 30810 32084 36972 37020 40105 46215 48126 48743 55530 61620 72189 80210 92430 96252 97486 111060 120315 144378 146229 160420 184860 194972 240630 243715 288756 292458 360945 438687 481260 487430 584916 633659 721890 731145 877374 974860 1267318 1443780 1462290 1754748 1900977 2193435 2534636 2924580 3168295 3801954 4386870 5702931 6336590 7603908 8773740 9504885 11405862 12673180 19009770 22811724 28514655 38019540 57029310 114058620