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26316920 = 2357229463
BaseRepresentation
bin110010001100…
…1000001111000
31211112001000202
41210121001320
523214120140
62340021332
7436455500
oct144310170
954461022
1026316920
1113945323
128991848
1355b5756
1436d0a00
15249c915
hex1919078

26316920 has 96 divisors (see below), whose sum is σ = 71409600. Its totient is φ = 8692992.

The previous prime is 26316907. The next prime is 26316943. The reversal of 26316920 is 2961362.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 56609 + ... + 57071.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 226316920 is an apocalyptic number.

26316920 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 26316920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35704800).

26316920 is an abundant number, since it is smaller than the sum of its proper divisors (45092680).

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

26316920 is a wasteful number, since it uses less digits than its factorization.

26316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 26316920 is about 5130.0019493174. The cubic root of 26316920 is about 297.4484339691.

The spelling of 26316920 in words is "twenty-six million, three hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 463 490 580 812 926 980 1015 1160 1421 1624 1852 1960 2030 2315 2842 3241 3704 4060 4630 5684 6482 7105 8120 9260 11368 12964 13427 14210 16205 18520 22687 25928 26854 28420 32410 45374 53708 56840 64820 67135 90748 93989 107416 113435 129640 134270 181496 187978 226870 268540 375956 453740 469945 537080 657923 751912 907480 939890 1315846 1879780 2631692 3289615 3759560 5263384 6579230 13158460 26316920