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125214660 = 22345372089
BaseRepresentation
bin1110111011010…
…01111111000100
322201121120020000
413131221333010
5224023332120
620231441300
73050210214
oct735517704
9281546200
10125214660
116475369a
1235b26230
131cc3161c
14128b6244
15aed5990
hex7769fc4

125214660 has 120 divisors (see below), whose sum is σ = 403612440. Its totient is φ = 32472576.

The previous prime is 125214659. The next prime is 125214671. The reversal of 125214660 is 66412521.

It can be written as a sum of positive squares in 4 ways, for example, as 60186564 + 65028096 = 7758^2 + 8064^2 .

It is a super-2 number, since 2×1252146602 = 31357422157831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58896 + ... + 60984.

It is an arithmetic number, because the mean of its divisors is an integer number (3363437).

Almost surely, 2125214660 is an apocalyptic number.

125214660 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 125214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201806220).

125214660 is an abundant number, since it is smaller than the sum of its proper divisors (278397780).

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

125214660 is a wasteful number, since it uses less digits than its factorization.

125214660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125214660 is about 11189.9356566515. The cubic root of 125214660 is about 500.2860496533.

The spelling of 125214660 in words is "one hundred twenty-five million, two hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2089 2220 2997 3330 3996 4178 4995 5994 6267 6660 8356 9990 10445 11988 12534 14985 18801 19980 20890 25068 29970 31335 37602 41780 56403 59940 62670 75204 77293 94005 112806 125340 154586 169209 188010 225612 231879 282015 309172 338418 376020 386465 463758 564030 676836 695637 772930 846045 927516 1128060 1159395 1391274 1545860 1692090 2086911 2318790 2782548 3384180 3478185 4173822 4637580 6260733 6956370 8347644 10434555 12521466 13912740 20869110 25042932 31303665 41738220 62607330 125214660