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2089980 = 2232517683
BaseRepresentation
bin111111110001111111100
310221011220200
413332033330
51013334410
6112443500
723523144
oct7761774
93834820
102089980
1111a8262
12849590
13582399
143c5924
152b43c0
hex1fe3fc

2089980 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 523776.

The previous prime is 2089979. The next prime is 2090003. The reversal of 2089980 is 899802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

22089980 is an apocalyptic number.

2089980 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 2089980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2089980 is an abundant number, since it is smaller than the sum of its proper divisors (4632372).

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

2089980 is a wasteful number, since it uses less digits than its factorization.

2089980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2089980 is about 1445.6763123189. The cubic root of 2089980 is about 127.8539186330.

It can be divided in two parts, 20 and 89980, that added together give a square (90000 = 3002).

The spelling of 2089980 in words is "two million, eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 683 765 1020 1366 1530 2049 2732 3060 3415 4098 6147 6830 8196 10245 11611 12294 13660 20490 23222 24588 30735 34833 40980 46444 58055 61470 69666 104499 116110 122940 139332 174165 208998 232220 348330 417996 522495 696660 1044990 2089980