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166944820 = 225710911093
BaseRepresentation
bin10011111001101…
…10000000110100
3102122010200020111
421330312000310
5320214213240
624322112404
74065002410
oct1174660064
9378120214
10166944820
1186266129
1247aab704
1328782823
1418259d40
15e9ca1ea
hex9f36034

166944820 has 48 divisors (see below), whose sum is σ = 401401728. Its totient is φ = 57133440.

The previous prime is 166944803. The next prime is 166944821. The reversal of 166944820 is 28449661.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166944821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152194 + ... + 153286.

It is an arithmetic number, because the mean of its divisors is an integer number (8362536).

Almost surely, 2166944820 is an apocalyptic number.

166944820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166944820 is an abundant number, since it is smaller than the sum of its proper divisors (234456908).

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

166944820 is a wasteful number, since it uses less digits than its factorization.

166944820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 166944820 is about 12920.7128286329. The cubic root of 166944820 is about 550.6271853519.

The spelling of 166944820 in words is "one hundred sixty-six million, nine hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1091 1093 2182 2186 4364 4372 5455 5465 7637 7651 10910 10930 15274 15302 21820 21860 30548 30604 38185 38255 76370 76510 152740 153020 1192463 2384926 4769852 5962315 8347241 11924630 16694482 23849260 33388964 41736205 83472410 166944820