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20901840 = 24351747109
BaseRepresentation
bin100111110111…
…0111111010000
31110022220221020
41033232333100
520322324330
62023555440
7342443211
oct117567720
943286836
1020901840
1110886953
126bbbb80
13443aa6b
142ac1408
151c7d210
hex13eefd0

20901840 has 160 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 5087232.

The previous prime is 20901821. The next prime is 20901863. The reversal of 20901840 is 4810902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20901840.

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, 191706 + ... + 191814.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 220901840 is an apocalyptic number.

20901840 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 20901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

20901840 is an abundant number, since it is smaller than the sum of its proper divisors (49807920).

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

20901840 is a wasteful number, since it uses less digits than its factorization.

20901840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 20901840 is about 4571.8530160100. The cubic root of 20901840 is about 275.4618794580.

The spelling of 20901840 in words is "twenty million, nine hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 109 120 136 141 170 188 204 218 235 240 255 272 282 327 340 376 408 436 470 510 545 564 654 680 705 752 799 816 872 940 1020 1090 1128 1308 1360 1410 1598 1635 1744 1853 1880 2040 2180 2256 2397 2616 2820 3196 3270 3706 3760 3995 4080 4360 4794 5123 5232 5559 5640 6392 6540 7412 7990 8720 9265 9588 10246 11118 11280 11985 12784 13080 14824 15369 15980 18530 19176 20492 22236 23970 25615 26160 27795 29648 30738 31960 37060 38352 40984 44472 47940 51230 55590 61476 63920 74120 76845 81968 87091 88944 95880 102460 111180 122952 148240 153690 174182 191760 204920 222360 245904 261273 307380 348364 409840 435455 444720 522546 614760 696728 870910 1045092 1229520 1306365 1393456 1741820 2090184 2612730 3483640 4180368 5225460 6967280 10450920 20901840