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2164920 = 233518041
BaseRepresentation
bin1000010000100010111000
311001222201020
420100202320
51023234140
6114222440
724254502
oct10204270
94058636
102164920
11124959a
12884a20
135aa524
14404d72
152cb6d0
hex2108b8

2164920 has 32 divisors (see below), whose sum is σ = 6495120. Its totient is φ = 577280.

The previous prime is 2164919. The next prime is 2164927. The reversal of 2164920 is 294612.

2164920 is digitally balanced in base 5, 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 (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8901 + ... + 9140.

22164920 is an apocalyptic number.

2164920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164920 is an abundant number, since it is smaller than the sum of its proper divisors (4330200).

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

2164920 is a wasteful number, since it uses less digits than its factorization.

2164920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18055 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2164920 is about 1471.3667115984. The cubic root of 2164920 is about 129.3641534467.

The spelling of 2164920 in words is "two million, one hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18041 36082 54123 72164 90205 108246 144328 180410 216492 270615 360820 432984 541230 721640 1082460 2164920