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20620980 = 223554243
BaseRepresentation
bin100111010101…
…0011010110100
31102210122200000
41032222122310
520234332410
62013551300
7340163322
oct116523264
942718600
1020620980
1110704936
126aa5530
13436cc83
142a4ad12
151c24dc0
hex13aa6b4

20620980 has 72 divisors (see below), whose sum is σ = 64882272. Its totient is φ = 5497632.

The previous prime is 20620973. The next prime is 20620981. The reversal of 20620980 is 8902602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20620981) by changing a digit.

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, 2739 + ... + 6981.

Almost surely, 220620980 is an apocalyptic number.

20620980 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 20620980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441136).

20620980 is an abundant number, since it is smaller than the sum of its proper divisors (44261292).

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

20620980 is a wasteful number, since it uses less digits than its factorization.

20620980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20620980 is about 4541.0329221445. The cubic root of 20620980 is about 274.2225091529. Note that the first 3 decimals are identical.

The spelling of 20620980 in words is "twenty million, six hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4243 4860 8486 12729 16972 21215 25458 38187 42430 50916 63645 76374 84860 114561 127290 152748 190935 229122 254580 343683 381870 458244 572805 687366 763740 1031049 1145610 1374732 1718415 2062098 2291220 3436830 4124196 5155245 6873660 10310490 20620980