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20104320 = 273537283
BaseRepresentation
bin100110010110…
…0010010000000
31101211101221110
41030230102000
520121314240
61554523320
7332612115
oct114542200
941741843
1020104320
1110391745
126896540
13421ba62
14295490c
151b71c80
hex132c480

20104320 has 128 divisors (see below), whose sum is σ = 66047040. Its totient is φ = 5197824.

The previous prime is 20104313. The next prime is 20104333. The reversal of 20104320 is 2340102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20104296 and 20104305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70899 + ... + 71181.

Almost surely, 220104320 is an apocalyptic number.

20104320 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 20104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33023520).

20104320 is an abundant number, since it is smaller than the sum of its proper divisors (45942720).

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

20104320 is a wasteful number, since it uses less digits than its factorization.

20104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20104320 is about 4483.7841161233. The cubic root of 20104320 is about 271.9128902139.

Adding to 20104320 its reverse (2340102), we get a palindrome (22444422).

The spelling of 20104320 in words is "twenty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 283 296 320 370 384 444 480 555 566 592 640 740 849 888 960 1110 1132 1184 1415 1480 1698 1776 1920 2220 2264 2368 2830 2960 3396 3552 4245 4440 4528 4736 5660 5920 6792 7104 8490 8880 9056 10471 11320 11840 13584 14208 16980 17760 18112 20942 22640 23680 27168 31413 33960 35520 36224 41884 45280 52355 54336 62826 67920 71040 83768 90560 104710 108672 125652 135840 157065 167536 181120 209420 251304 271680 314130 335072 418840 502608 543360 628260 670144 837680 1005216 1256520 1340288 1675360 2010432 2513040 3350720 4020864 5026080 6701440 10052160 20104320