Search a number
-
+
166402640 = 2459772129
BaseRepresentation
bin10011110101100…
…01101001010000
3102121010010111202
421322301221100
5320044341030
624302330332
74060253615
oct1172615120
9377103452
10166402640
1185a25848
12478899a8
1328622b01
141815850c
15e91e745
hex9eb1a50

166402640 has 40 divisors (see below), whose sum is σ = 387464040. Its totient is φ = 66461696.

The previous prime is 166402601. The next prime is 166402657. The reversal of 166402640 is 46204661.

It can be written as a sum of positive squares in 4 ways, for example, as 32398864 + 134003776 = 5692^2 + 11576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 77096 + ... + 79224.

It is an arithmetic number, because the mean of its divisors is an integer number (9686601).

Almost surely, 2166402640 is an apocalyptic number.

166402640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166402640 is an abundant number, since it is smaller than the sum of its proper divisors (221061400).

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

166402640 is a wasteful number, since it uses less digits than its factorization.

166402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 166402640 is about 12899.7147255278. The cubic root of 166402640 is about 550.0304556138.

The spelling of 166402640 in words is "one hundred sixty-six million, four hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 977 1954 2129 3908 4258 4885 7816 8516 9770 10645 15632 17032 19540 21290 34064 39080 42580 78160 85160 170320 2080033 4160066 8320132 10400165 16640264 20800330 33280528 41600660 83201320 166402640