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2116980 = 2232519619
BaseRepresentation
bin1000000100110101110100
310222112221200
420010311310
51020220410
6113212500
723664645
oct10046564
93875850
102116980
111216578
12861130
13591768
143d16cc
152bc3c0
hex204d74

2116980 has 72 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 533952.

The previous prime is 2116973. The next prime is 2116981. The reversal of 2116980 is 896112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111 + ... + 3729.

22116980 is an apocalyptic number.

2116980 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 2116980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2116980 is an abundant number, since it is smaller than the sum of its proper divisors (4653420).

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

2116980 is a wasteful number, since it uses less digits than its factorization.

2116980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2116980 is about 1454.9845360003. The cubic root of 2116980 is about 128.4021369779.

The spelling of 2116980 in words is "two million, one hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 619 684 855 1140 1238 1710 1857 2476 3095 3420 3714 5571 6190 7428 9285 11142 11761 12380 18570 22284 23522 27855 35283 37140 47044 55710 58805 70566 105849 111420 117610 141132 176415 211698 235220 352830 423396 529245 705660 1058490 2116980