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166402040 = 23572731163
BaseRepresentation
bin10011110101100…
…01011111111000
3102121010002200112
421322301133320
5320044331130
624302323452
74060252100
oct1172613770
9377102615
10166402040
1185a25352
1247889588
132862275c
1418158200
15e91e495
hex9eb17f8

166402040 has 96 divisors (see below), whose sum is σ = 441877680. Its totient is φ = 56222208.

The previous prime is 166402037. The next prime is 166402063. The reversal of 166402040 is 40204661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 166401997 and 166402015.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 142499 + ... + 143661.

Almost surely, 2166402040 is an apocalyptic number.

166402040 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 166402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220938840).

166402040 is an abundant number, since it is smaller than the sum of its proper divisors (275475640).

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

166402040 is a wasteful number, since it uses less digits than its factorization.

166402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 166402040 is about 12899.6914691786. The cubic root of 166402040 is about 550.0297945292.

The spelling of 166402040 in words is "one hundred sixty-six million, four hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1163 1460 1960 2044 2326 2555 2920 3577 4088 4652 5110 5815 7154 8141 9304 10220 11630 14308 16282 17885 20440 23260 28616 32564 35770 40705 46520 56987 65128 71540 81410 84899 113974 143080 162820 169798 227948 284935 325640 339596 424495 455896 569870 594293 679192 848990 1139740 1188586 1697980 2279480 2377172 2971465 3395960 4160051 4754344 5942930 8320102 11885860 16640204 20800255 23771720 33280408 41600510 83201020 166402040