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2090660 = 22511131743
BaseRepresentation
bin111111110011010100100
310221012211212
413332122210
51013400120
6112450552
723525135
oct7763244
93835755
102090660
1111a8820
12849a58
135827a0
143c5c8c
152b46c5
hex1fe6a4

2090660 has 96 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 645120.

The previous prime is 2090651. The next prime is 2090681. The reversal of 2090660 is 660902.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48599 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

22090660 is an apocalyptic number.

2090660 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 2090660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2090660 is an abundant number, since it is smaller than the sum of its proper divisors (3497692).

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

2090660 is a wasteful number, since it uses less digits than its factorization.

2090660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2090660 is about 1445.9114772350. The cubic root of 2090660 is about 127.8677833968.

The spelling of 2090660 in words is "two million, ninety thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 43 44 52 55 65 68 85 86 110 130 143 170 172 187 215 220 221 260 286 340 374 430 442 473 559 572 715 731 748 860 884 935 946 1105 1118 1430 1462 1870 1892 2210 2236 2365 2431 2795 2860 2924 3655 3740 4420 4730 4862 5590 6149 7310 8041 9460 9503 9724 11180 12155 12298 14620 16082 19006 24310 24596 30745 32164 38012 40205 47515 48620 61490 80410 95030 104533 122980 160820 190060 209066 418132 522665 1045330 2090660