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26830980 = 22335114517
BaseRepresentation
bin110011001011…
…0100010000100
31212111011012000
41212112202010
523332042410
62355025300
7444026301
oct146264204
955434160
1026830980
1114166570
128b9b230
135735727
1437c60a8
15254edc0
hex1996884

26830980 has 96 divisors (see below), whose sum is σ = 91082880. Its totient is φ = 6503040.

The previous prime is 26830967. The next prime is 26831023. The reversal of 26830980 is 8903862.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682 + ... + 8198.

It is an arithmetic number, because the mean of its divisors is an integer number (948780).

Almost surely, 226830980 is an apocalyptic number.

26830980 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 26830980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45541440).

26830980 is an abundant number, since it is smaller than the sum of its proper divisors (64251900).

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

26830980 is a wasteful number, since it uses less digits than its factorization.

26830980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26830980 is about 5179.8629325495. The cubic root of 26830980 is about 299.3726891848.

The spelling of 26830980 in words is "twenty-six million, eight hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 4517 5940 9034 13551 18068 22585 27102 40653 45170 49687 54204 67755 81306 90340 99374 121959 135510 149061 162612 198748 203265 243918 248435 271020 298122 406530 447183 487836 496870 596244 609795 745305 813060 894366 993740 1219590 1341549 1490610 1788732 2235915 2439180 2683098 2981220 4471830 5366196 6707745 8943660 13415490 26830980