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166672120 = 23531139967
BaseRepresentation
bin10011110111100…
…11011011111000
3102121121211011111
421323303123320
5320132001440
624312210104
74062455356
oct1173633370
9377554144
10166672120
118609a25a
1247999934
13286b8674
14181c87d6
15e9744ea
hex9ef36f8

166672120 has 64 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 63987840.

The previous prime is 166672117. The next prime is 166672141. The reversal of 166672120 is 21276661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 171877 + ... + 172843.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2166672120 is an apocalyptic number.

166672120 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 166672120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

166672120 is an abundant number, since it is smaller than the sum of its proper divisors (223625480).

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

166672120 is a wasteful number, since it uses less digits than its factorization.

166672120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 166672120 is about 12910.1556923222. The cubic root of 166672120 is about 550.3272102536.

The spelling of 166672120 in words is "one hundred sixty-six million, six hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 139 155 248 278 310 556 620 695 967 1112 1240 1390 1934 2780 3868 4309 4835 5560 7736 8618 9670 17236 19340 21545 29977 34472 38680 43090 59954 86180 119908 134413 149885 172360 239816 268826 299770 537652 599540 672065 1075304 1199080 1344130 2688260 4166803 5376520 8333606 16667212 20834015 33334424 41668030 83336060 166672120