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2042664 = 233136547
BaseRepresentation
bin111110010101100101000
310211210000020
413302230220
51010331124
6111440440
723235201
oct7625450
93753006
102042664
111175758
12826120
135669a0
143b25a8
152a5379
hex1f2b28

2042664 has 32 divisors (see below), whose sum is σ = 5500320. Its totient is φ = 628416.

The previous prime is 2042657. The next prime is 2042681. The reversal of 2042664 is 4662402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (171885).

22042664 is an apocalyptic number.

2042664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042664 is an abundant number, since it is smaller than the sum of its proper divisors (3457656).

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

2042664 is a wasteful number, since it uses less digits than its factorization.

2042664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2042664 is about 1429.2179679811. The cubic root of 2042664 is about 126.8816969295.

The spelling of 2042664 in words is "two million, forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 6547 13094 19641 26188 39282 52376 78564 85111 157128 170222 255333 340444 510666 680888 1021332 2042664