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166804092 = 223271359863
BaseRepresentation
bin10011111000100…
…11101001111100
3102121212112012100
421330103221330
5320200212332
624315105100
74063545210
oct1174235174
9377775170
10166804092
118617a424
1247a42190
1328733760
1418220940
15e99d67c
hex9f13a7c

166804092 has 144 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 43196544.

The previous prime is 166804061. The next prime is 166804133. The reversal of 166804092 is 290408661.

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

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, 192853 + ... + 193715.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2166804092 is an apocalyptic number.

166804092 is a gapful number since it is divisible by the number (12) 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 166804092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

166804092 is an abundant number, since it is smaller than the sum of its proper divisors (361549188).

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

166804092 is a wasteful number, since it uses less digits than its factorization.

166804092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166804092 is about 12915.2658509223. The cubic root of 166804092 is about 550.4724227462.

The spelling of 166804092 in words is "one hundred sixty-six million, eight hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 863 1062 1092 1239 1534 1638 1652 1726 2124 2301 2478 2589 3068 3276 3452 3717 4602 4956 5178 5369 6041 6903 7434 7767 9204 10356 10738 11219 12082 13806 14868 15534 16107 18123 21476 22438 24164 27612 31068 32214 33657 36246 44876 48321 50917 54369 64428 67314 72492 78533 96642 100971 101834 108738 134628 152751 157066 193284 201942 203668 217476 235599 305502 314132 356419 403884 458253 471198 611004 661921 706797 712838 916506 942396 1069257 1323842 1413594 1425676 1833012 1985763 2138514 2647684 2827188 3207771 3971526 4277028 4633447 5957289 6415542 7943052 9266894 11914578 12831084 13900341 18533788 23829156 27800682 41701023 55601364 83402046 166804092