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20139600 = 24352131291
BaseRepresentation
bin100110011010…
…0111001010000
31101220012100010
41030310321100
520123431400
61555354520
7333120015
oct114647120
941805303
1020139600
11104061a8
1268b2a40
134231b30
14296370c
151b7c450
hex1334e50

20139600 has 120 divisors (see below), whose sum is σ = 69530272. Its totient is φ = 4953600.

The previous prime is 20139599. The next prime is 20139619. The reversal of 20139600 is 693102.

It is a tau number, because it is divible by the number of its divisors (120).

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, 14955 + ... + 16245.

Almost surely, 220139600 is an apocalyptic number.

20139600 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 20139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34765136).

20139600 is an abundant number, since it is smaller than the sum of its proper divisors (49390672).

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

20139600 is a wasteful number, since it uses less digits than its factorization.

20139600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 20139600 is about 4487.7165685903. The cubic root of 20139600 is about 272.0718524132.

The spelling of 20139600 in words is "twenty million, one hundred thirty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1291 1300 1560 1950 2582 2600 3120 3873 3900 5164 5200 6455 7746 7800 10328 12910 15492 15600 16783 19365 20656 25820 30984 32275 33566 38730 50349 51640 61968 64550 67132 77460 83915 96825 100698 103280 129100 134264 154920 167830 193650 201396 251745 258200 268528 309840 335660 387300 402792 419575 503490 516400 671320 774600 805584 839150 1006980 1258725 1342640 1549200 1678300 2013960 2517450 3356600 4027920 5034900 6713200 10069800 20139600