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20048600 = 23521113701
BaseRepresentation
bin100110001111…
…0101011011000
31101201120111202
41030132223120
520113023400
61553413332
7332260505
oct114365330
941646452
1020048600
11103538a0
12686a248
1341cc5a0
14293c4ac
151b604d5
hex131ead8

20048600 has 96 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 6720000.

The previous prime is 20048597. The next prime is 20048659. The reversal of 20048600 is 684002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28250 + ... + 28950.

Almost surely, 220048600 is an apocalyptic number.

20048600 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 20048600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

20048600 is an abundant number, since it is smaller than the sum of its proper divisors (34791640).

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

20048600 is a wasteful number, since it uses less digits than its factorization.

20048600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20048600 is about 4477.5663032500. The cubic root of 20048600 is about 271.6614516335.

The spelling of 20048600 in words is "twenty million, forty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 701 715 1100 1144 1300 1402 1430 2200 2600 2804 2860 3505 3575 5608 5720 7010 7150 7711 9113 14020 14300 15422 17525 18226 28040 28600 30844 35050 36452 38555 45565 61688 70100 72904 77110 91130 100243 140200 154220 182260 192775 200486 227825 308440 364520 385550 400972 455650 501215 771100 801944 911300 1002430 1542200 1822600 2004860 2506075 4009720 5012150 10024300 20048600