Search a number
-
+
166760790 = 23575314983
BaseRepresentation
bin10011111000010…
…01000101010110
3102121210022210120
421330021011112
5320142321130
624314132410
74063305030
oct1174110526
9377708716
10166760790
118614a939
1247a21106
1328719b31
141820cc50
15e990910
hex9f09156

166760790 has 64 divisors (see below), whose sum is σ = 466062336. Its totient is φ = 37395072.

The previous prime is 166760771. The next prime is 166760791. The reversal of 166760790 is 97067661.

It is a super-2 number, since 2×1667607902 = 55618322162848200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166760791) 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 31 ways as a sum of consecutive naturals, for example, 3639 + ... + 18621.

It is an arithmetic number, because the mean of its divisors is an integer number (7282224).

Almost surely, 2166760790 is an apocalyptic number.

166760790 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 166760790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233031168).

166760790 is an abundant number, since it is smaller than the sum of its proper divisors (299301546).

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

166760790 is a wasteful number, since it uses less digits than its factorization.

166760790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 166760790 is about 12913.5893538551. The cubic root of 166760790 is about 550.4247847866.

The spelling of 166760790 in words is "one hundred sixty-six million, seven hundred sixty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 14983 29966 44949 74915 89898 104881 149830 209762 224745 314643 449490 524405 629286 794099 1048810 1573215 1588198 2382297 3146430 3970495 4764594 5558693 7940990 11117386 11911485 16676079 23822970 27793465 33352158 55586930 83380395 166760790