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166890680 = 235111919963
BaseRepresentation
bin10011111001010…
…00110010111000
3102122000220222022
421330220302320
5320211000210
624321014012
74064355515
oct1174506270
9378026868
10166890680
1186229490
1247a84308
1328763ca8
141824430c
15e9b9155
hex9f28cb8

166890680 has 64 divisors (see below), whose sum is σ = 431222400. Its totient is φ = 57490560.

The previous prime is 166890671. The next prime is 166890709. The reversal of 166890680 is 86098661.

166890680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2166890680 is an apocalyptic number.

166890680 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 166890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215611200).

166890680 is an abundant number, since it is smaller than the sum of its proper divisors (264331720).

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

166890680 is a wasteful number, since it uses less digits than its factorization.

166890680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20004 (or 20000 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 166890680 is about 12918.6175730997. The cubic root of 166890680 is about 550.5676563432.

The spelling of 166890680 in words is "one hundred sixty-six million, eight hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 19963 39926 79852 99815 159704 199630 219593 379297 399260 439186 758594 798520 878372 1097965 1517188 1756744 1896485 2195930 3034376 3792970 4172267 4391860 7585940 8344534 8783720 15171880 16689068 20861335 33378136 41722670 83445340 166890680