Search a number
-
+
166044440 = 23517614003
BaseRepresentation
bin10011110010110…
…10001100011000
3102120102221011002
421321122030120
5320001410230
624250524132
74054232402
oct1171321430
9376387132
10166044440
1185800711
1247736648
1328528a63
14180a3b72
15e89d545
hex9e5a318

166044440 has 64 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 61470720.

The previous prime is 166044433. The next prime is 166044443. The reversal of 166044440 is 44440661.

166044440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166044443) 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 15 ways as a sum of consecutive naturals, for example, 39479 + ... + 43481.

Almost surely, 2166044440 is an apocalyptic number.

166044440 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 166044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

166044440 is an abundant number, since it is smaller than the sum of its proper divisors (236117320).

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

166044440 is a wasteful number, since it uses less digits than its factorization.

166044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 166044440 is about 12885.8232177847. The cubic root of 166044440 is about 549.6355050524.

The spelling of 166044440 in words is "one hundred sixty-six million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4003 4148 5185 8006 8296 10370 16012 20015 20740 32024 40030 41480 68051 80060 136102 160120 244183 272204 340255 488366 544408 680510 976732 1220915 1361020 1953464 2441830 2722040 4151111 4883660 8302222 9767320 16604444 20755555 33208888 41511110 83022220 166044440