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20049920 = 21251189
BaseRepresentation
bin100110001111…
…1000000000000
31101201122022122
41030133000000
520113044140
61553423412
7332264402
oct114370000
941648278
1020049920
1110354890
12686ab68
134200077
14293cb72
151b60ab5
hex131f000

20049920 has 104 divisors (see below), whose sum is σ = 53077680. Its totient is φ = 7208960.

The previous prime is 20049917. The next prime is 20049937. The reversal of 20049920 is 2994002.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20049920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225236 + ... + 225324.

Almost surely, 220049920 is an apocalyptic number.

20049920 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 20049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26538840).

20049920 is an abundant number, since it is smaller than the sum of its proper divisors (33027760).

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

20049920 is an equidigital number, since it uses as much as digits as its factorization.

20049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 20049920 is about 4477.7137023262. The cubic root of 20049920 is about 271.6674135668.

The spelling of 20049920 in words is "twenty million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 128 160 176 178 220 256 320 352 356 440 445 512 640 704 712 880 890 979 1024 1280 1408 1424 1760 1780 1958 2048 2560 2816 2848 3520 3560 3916 4096 4895 5120 5632 5696 7040 7120 7832 9790 10240 11264 11392 14080 14240 15664 19580 20480 22528 22784 28160 28480 31328 39160 45056 45568 56320 56960 62656 78320 91136 112640 113920 125312 156640 182272 225280 227840 250624 313280 364544 455680 501248 626560 911360 1002496 1253120 1822720 2004992 2506240 4009984 5012480 10024960 20049920