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166664124 = 22321117191303
BaseRepresentation
bin10011110111100…
…01011110111100
3102121121102012100
421323301132330
5320131222444
624312105100
74062423144
oct1173613674
9377542170
10166664124
1186094250
1247995190
13286b4b33
14181c5924
15e971e69
hex9ef17bc

166664124 has 144 divisors (see below), whose sum is σ = 512628480. Its totient is φ = 44997120.

The previous prime is 166664123. The next prime is 166664149. The reversal of 166664124 is 421466661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166664123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127257 + ... + 128559.

It is an arithmetic number, because the mean of its divisors is an integer number (3559920).

Almost surely, 2166664124 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 166664124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256314240).

166664124 is an abundant number, since it is smaller than the sum of its proper divisors (345964356).

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

166664124 is a wasteful number, since it uses less digits than its factorization.

166664124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 166664124 is about 12909.8460099259. The cubic root of 166664124 is about 550.3184095681.

The spelling of 166664124 in words is "one hundred sixty-six million, six hundred sixty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 342 374 396 418 561 612 627 646 684 748 836 969 1122 1254 1292 1303 1683 1881 1938 2244 2508 2606 2907 3366 3553 3762 3876 3909 5212 5814 6732 7106 7524 7818 10659 11628 11727 14212 14333 15636 21318 22151 23454 24757 28666 31977 42636 42999 44302 46908 49514 57332 63954 66453 74271 85998 88604 99028 127908 128997 132906 148542 171996 199359 222813 243661 257994 265812 272327 297084 398718 420869 445626 487322 515988 544654 730983 797436 816981 841738 891252 974644 1089308 1262607 1461966 1633962 1683476 2192949 2450943 2525214 2923932 3267924 3787821 4385898 4629559 4901886 5050428 7575642 8771796 9259118 9803772 13888677 15151284 18518236 27777354 41666031 55554708 83332062 166664124