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2090508 = 223741607
BaseRepresentation
bin111111110011000001100
310221012122020
413332120030
51013344013
6112450140
723524530
oct7763014
93835566
102090508
1111a86a2
12849950
135826b4
143c5bc0
152b4623
hex1fe60c

2090508 has 48 divisors (see below), whose sum is σ = 5720064. Its totient is φ = 581760.

The previous prime is 2090497. The next prime is 2090509. The reversal of 2090508 is 8050902.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2090509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141 + ... + 3747.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

22090508 is an apocalyptic number.

2090508 is a gapful number since it is divisible by the number (28) 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 2090508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860032).

2090508 is an abundant number, since it is smaller than the sum of its proper divisors (3629556).

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

2090508 is a wasteful number, since it uses less digits than its factorization.

2090508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2090508 is about 1445.8589142790. The cubic root of 2090508 is about 127.8646844752.

The spelling of 2090508 in words is "two million, ninety thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 607 861 1148 1214 1722 1821 2428 3444 3642 4249 7284 8498 12747 16996 24887 25494 49774 50988 74661 99548 149322 174209 298644 348418 522627 696836 1045254 2090508