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2090792 = 2311231033
BaseRepresentation
bin111111110011100101000
310221020000202
413332130220
51013401132
6112451332
723525414
oct7763450
93836022
102090792
1111a8930
12849b48
13582872
143c5d44
152b4762
hex1fe728

2090792 has 32 divisors (see below), whose sum is σ = 4466880. Its totient is φ = 908160.

The previous prime is 2090791. The next prime is 2090807. The reversal of 2090792 is 2970902.

It is a happy number.

It is a super-2 number, since 2×20907922 = 8742822374528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2090791) 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 7 ways as a sum of consecutive naturals, for example, 1508 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (139590).

22090792 is an apocalyptic number.

2090792 is a gapful number since it is divisible by the number (22) 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 2090792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233440).

2090792 is an abundant number, since it is smaller than the sum of its proper divisors (2376088).

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

2090792 is a wasteful number, since it uses less digits than its factorization.

2090792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 2090792 is about 1445.9571224625. The cubic root of 2090792 is about 127.8704744437.

It can be divided in two parts, 2090 and 792, that added together give a palindrome (2882).

The spelling of 2090792 in words is "two million, ninety thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1033 2024 2066 4132 8264 11363 22726 23759 45452 47518 90904 95036 190072 261349 522698 1045396 2090792