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2696980 = 22511132341
BaseRepresentation
bin1010010010011100010100
312002000120011
422102130110
51142300410
6133450004
731631626
oct12223424
95060504
102696980
111582310
12aa0904
13735760
14502c16
1538418a
hex292714

2696980 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 844800.

The previous prime is 2696977. The next prime is 2696989. The reversal of 2696980 is 896962.

2696980 = T23 + T24 + ... + T252.

It is a happy number.

It is a super-2 number, since 2×26969802 = 14547402240800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65760 + ... + 65800.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

22696980 is an apocalyptic number.

2696980 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 2696980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2696980 is an abundant number, since it is smaller than the sum of its proper divisors (4415468).

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

2696980 is a wasteful number, since it uses less digits than its factorization.

2696980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2696980 is about 1642.2484586688. The cubic root of 2696980 is about 139.1957286090.

The spelling of 2696980 in words is "two million, six hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 41 44 46 52 55 65 82 92 110 115 130 143 164 205 220 230 253 260 286 299 410 451 460 506 533 572 598 715 820 902 943 1012 1066 1196 1265 1430 1495 1804 1886 2132 2255 2530 2665 2860 2990 3289 3772 4510 4715 5060 5330 5863 5980 6578 9020 9430 10373 10660 11726 12259 13156 16445 18860 20746 23452 24518 29315 32890 41492 49036 51865 58630 61295 65780 103730 117260 122590 134849 207460 245180 269698 539396 674245 1348490 2696980