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20479320 = 23325163349
BaseRepresentation
bin100111000011…
…1110101011000
31102112110100100
41032013311120
520220314240
62010535400
7336033321
oct116076530
942473310
1020479320
1110618464
126a37560
134320654
142a11448
151be7e30
hex1387d58

20479320 has 96 divisors (see below), whose sum is σ = 67158000. Its totient is φ = 5412096.

The previous prime is 20479297. The next prime is 20479331. The reversal of 20479320 is 2397402.

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, 58506 + ... + 58854.

Almost surely, 220479320 is an apocalyptic number.

20479320 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 20479320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33579000).

20479320 is an abundant number, since it is smaller than the sum of its proper divisors (46678680).

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

20479320 is a wasteful number, since it uses less digits than its factorization.

20479320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20479320 is about 4525.4082688748. The cubic root of 20479320 is about 273.5931233524.

It can be divided in two parts, 204 and 79320, that added together give a square (79524 = 2822).

The spelling of 20479320 in words is "twenty million, four hundred seventy-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 90 120 163 180 326 349 360 489 652 698 815 978 1047 1304 1396 1467 1630 1745 1956 2094 2445 2792 2934 3141 3260 3490 3912 4188 4890 5235 5868 6282 6520 6980 7335 8376 9780 10470 11736 12564 13960 14670 15705 19560 20940 25128 29340 31410 41880 56887 58680 62820 113774 125640 170661 227548 284435 341322 455096 511983 568870 682644 853305 1023966 1137740 1365288 1706610 2047932 2275480 2559915 3413220 4095864 5119830 6826440 10239660 20479320