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2090960 = 24559443
BaseRepresentation
bin111111110011111010000
310221020020222
413332133100
51013402320
6112452212
723526044
oct7763720
93836228
102090960
1111a8a73
1284a068
13582971
143c6024
152b4825
hex1fe7d0

2090960 has 40 divisors (see below), whose sum is σ = 4955040. Its totient is φ = 820352.

The previous prime is 2090951. The next prime is 2090989. The reversal of 2090960 is 690902.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20909602 = 8744227443200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4499 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

22090960 is an apocalyptic number.

2090960 is a gapful number since it is divisible by the number (20) 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 2090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477520).

2090960 is an abundant number, since it is smaller than the sum of its proper divisors (2864080).

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

2090960 is a wasteful number, since it uses less digits than its factorization.

2090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2090960 is about 1446.0152143045. The cubic root of 2090960 is about 127.8738992486.

The spelling of 2090960 in words is "two million, ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 443 472 590 886 944 1180 1772 2215 2360 3544 4430 4720 7088 8860 17720 26137 35440 52274 104548 130685 209096 261370 418192 522740 1045480 2090960