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166028680 = 23541671511
BaseRepresentation
bin10011110010101…
…10010110001000
3102120102010112101
421321112112020
5320000404210
624250323144
74054135426
oct1171262610
9376363471
10166028680
118579a894
12477294b4
132852182c
141809c116
15e898a3a
hex9e56588

166028680 has 64 divisors (see below), whose sum is σ = 388644480. Its totient is φ = 63782400.

The previous prime is 166028627. The next prime is 166028729. The reversal of 166028680 is 86820661.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 109125 + ... + 110635.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2166028680 is an apocalyptic number.

166028680 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 166028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

166028680 is an abundant number, since it is smaller than the sum of its proper divisors (222615800).

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

166028680 is a wasteful number, since it uses less digits than its factorization.

166028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 166028680 is about 12885.2116785096. The cubic root of 166028680 is about 549.6181150701.

The spelling of 166028680 in words is "one hundred sixty-six million, twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 328 335 410 536 670 820 1340 1511 1640 2680 2747 3022 5494 6044 7555 10988 12088 13735 15110 21976 27470 30220 54940 60440 61951 101237 109880 123902 202474 247804 309755 404948 495608 506185 619510 809896 1012370 1239020 2024740 2478040 4049480 4150717 8301434 16602868 20753585 33205736 41507170 83014340 166028680