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166620690 = 232519139701
BaseRepresentation
bin10011110111001…
…10111000010010
3102121112012121200
421323212320102
5320123330230
624311132030
74062152415
oct1173467022
9377465550
10166620690
1186064655
1247974016
132869b132
14181b3b7c
15e964160
hex9ee6e12

166620690 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 41731200.

The previous prime is 166620673. The next prime is 166620697. The reversal of 166620690 is 96026661.

It is a happy number.

It is a super-2 number, since 2×1666206902 = 55524908672152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166620697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237340 + ... + 238040.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2166620690 is an apocalyptic number.

166620690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166620690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

166620690 is an abundant number, since it is smaller than the sum of its proper divisors (293329710).

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

166620690 is a wasteful number, since it uses less digits than its factorization.

166620690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 166620690 is about 12908.1636958942. The cubic root of 166620690 is about 550.2705996257.

The spelling of 166620690 in words is "one hundred sixty-six million, six hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 139 171 190 278 285 342 417 570 695 701 834 855 1251 1390 1402 1710 2085 2103 2502 2641 3505 4170 4206 5282 6255 6309 7010 7923 10515 12510 12618 13205 13319 15846 21030 23769 26410 26638 31545 39615 39957 47538 63090 66595 79230 79914 97439 118845 119871 133190 194878 199785 237690 239742 292317 399570 487195 584634 599355 876951 974390 1198710 1461585 1753902 1851341 2923170 3702682 4384755 5554023 8769510 9256705 11108046 16662069 18513410 27770115 33324138 55540230 83310345 166620690