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126632660 = 225721117691
BaseRepresentation
bin1111000110001…
…00001011010100
322211021121100112
413203010023110
5224404221120
620322102152
73065234300
oct743041324
9284247315
10126632660
1165531aa0
12364aa958
1320309b8b
1412b64d00
15b1b5bc5
hex78c42d4

126632660 has 144 divisors (see below), whose sum is σ = 357835968. Its totient is φ = 37094400.

The previous prime is 126632651. The next prime is 126632699. The reversal of 126632660 is 66236621.

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, 182915 + ... + 183605.

It is an arithmetic number, because the mean of its divisors is an integer number (2484972).

Almost surely, 2126632660 is an apocalyptic number.

126632660 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 126632660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917984).

126632660 is an abundant number, since it is smaller than the sum of its proper divisors (231203308).

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

126632660 is a wasteful number, since it uses less digits than its factorization.

126632660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 126632660 is about 11253.1177901949. The cubic root of 126632660 is about 502.1674705659.

The spelling of 126632660 in words is "one hundred twenty-six million, six hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 49 55 68 70 77 85 98 110 119 140 154 170 187 196 220 238 245 308 340 374 385 476 490 539 595 691 748 770 833 935 980 1078 1190 1309 1382 1540 1666 1870 2156 2380 2618 2695 2764 3332 3455 3740 4165 4837 5236 5390 6545 6910 7601 8330 9163 9674 10780 11747 13090 13820 15202 16660 18326 19348 23494 24185 26180 30404 33859 36652 38005 45815 46988 48370 53207 58735 67718 76010 82229 91630 96740 106414 117470 129217 135436 152020 164458 169295 183260 212828 234940 258434 266035 328916 338590 372449 411145 516868 532070 575603 646085 677180 744898 822290 904519 1064140 1151206 1292170 1489796 1644580 1809038 1862245 2302412 2584340 2878015 3618076 3724490 4522595 5756030 6331633 7448980 9045190 11512060 12663266 18090380 25326532 31658165 63316330 126632660