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20839320 = 23325107541
BaseRepresentation
bin100111101111…
…1101110011000
31110012202011200
41033133232120
520313324240
62022354200
7342063015
oct117375630
943182150
1020839320
1110843987
126b8b960
134418478
142aa670c
151c69930
hex13dfb98

20839320 has 96 divisors (see below), whose sum is σ = 68487120. Its totient is φ = 5495040.

The previous prime is 20839319. The next prime is 20839327. The reversal of 20839320 is 2393802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20839327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38250 + ... + 38790.

Almost surely, 220839320 is an apocalyptic number.

20839320 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 20839320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34243560).

20839320 is an abundant number, since it is smaller than the sum of its proper divisors (47647800).

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

20839320 is a wasteful number, since it uses less digits than its factorization.

20839320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20839320 is about 4565.0104052455. The cubic root of 20839320 is about 275.1869582674.

The spelling of 20839320 in words is "twenty million, eight hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 541 642 856 963 1070 1082 1284 1605 1623 1926 2140 2164 2568 2705 3210 3246 3852 4280 4328 4815 4869 5410 6420 6492 7704 8115 9630 9738 10820 12840 12984 16230 19260 19476 21640 24345 32460 38520 38952 48690 57887 64920 97380 115774 173661 194760 231548 289435 347322 463096 520983 578870 694644 868305 1041966 1157740 1389288 1736610 2083932 2315480 2604915 3473220 4167864 5209830 6946440 10419660 20839320