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20269920 = 2535112349
BaseRepresentation
bin100110101010…
…0101101100000
31102010211002210
41031110231200
520142114140
62002242120
7334201656
oct115245540
942124083
1020269920
1110495100
126956340
134279248
142998dd6
151ba5d80
hex1354b60

20269920 has 144 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 4899840.

The previous prime is 20269919. The next prime is 20269943. The reversal of 20269920 is 2996202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57906 + ... + 58254.

It is an arithmetic number, because the mean of its divisors is an integer number (488775).

Almost surely, 220269920 is an apocalyptic number.

20269920 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 20269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

20269920 is an abundant number, since it is smaller than the sum of its proper divisors (50113680).

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

20269920 is a wasteful number, since it uses less digits than its factorization.

20269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20269920 is about 4502.2127892848. The cubic root of 20269920 is about 272.6574350474.

The spelling of 20269920 in words is "twenty million, two hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 349 352 363 440 480 484 528 605 660 698 726 880 968 1047 1056 1210 1320 1396 1452 1745 1760 1815 1936 2094 2420 2640 2792 2904 3490 3630 3839 3872 4188 4840 5235 5280 5584 5808 6980 7260 7678 8376 9680 10470 11168 11517 11616 13960 14520 15356 16752 19195 19360 20940 23034 27920 29040 30712 33504 38390 41880 42229 46068 55840 57585 58080 61424 76780 83760 84458 92136 115170 122848 126687 153560 167520 168916 184272 211145 230340 253374 307120 337832 368544 422290 460680 506748 614240 633435 675664 844580 921360 1013496 1266870 1351328 1689160 1842720 2026992 2533740 3378320 4053984 5067480 6756640 10134960 20269920