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166424940 = 223251184053
BaseRepresentation
bin10011110101101…
…11000101101100
3102121011021002200
421322313011230
5320101044230
624303021500
74060405623
oct1172670554
9377137080
10166424940
1185a40580
124789a890
132862ccc6
14181626ba
15e926160
hex9eb716c

166424940 has 72 divisors (see below), whose sum is σ = 550721808. Its totient is φ = 40344960.

The previous prime is 166424837. The next prime is 166424953. The reversal of 166424940 is 49424661.

166424940 is a `hidden beast` number, since 1 + 6 + 642 + 4 + 9 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166424895 and 166424904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40047 + ... + 44006.

It is an arithmetic number, because the mean of its divisors is an integer number (7648914).

Almost surely, 2166424940 is an apocalyptic number.

166424940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166424940 is an abundant number, since it is smaller than the sum of its proper divisors (384296868).

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

166424940 is a wasteful number, since it uses less digits than its factorization.

166424940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84079 (or 84074 counting only the distinct ones).

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

The square root of 166424940 is about 12900.5790567711. The cubic root of 166424940 is about 550.0550247979.

The spelling of 166424940 in words is "one hundred sixty-six million, four hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 84053 168106 252159 336212 420265 504318 756477 840530 924583 1008636 1260795 1512954 1681060 1849166 2521590 2773749 3025908 3698332 3782385 4622915 5043180 5547498 7564770 8321247 9245830 11094996 13868745 15129540 16642494 18491660 27737490 33284988 41606235 55474980 83212470 166424940