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20979864 = 23332341103
BaseRepresentation
bin101000000001…
…0000010011000
31110110212222000
41100002002120
520332323424
62025401000
7343216533
oct120020230
943425860
1020979864
111092a534
127039160
134467429
142b01a1a
151c963c9
hex1402098

20979864 has 128 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6462720.

The previous prime is 20979809. The next prime is 20979877. The reversal of 20979864 is 46897902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203637 + ... + 203739.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 220979864 is an apocalyptic number.

20979864 is a gapful number since it is divisible by the number (24) 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 20979864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20979864 is an abundant number, since it is smaller than the sum of its proper divisors (41919336).

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

20979864 is a wasteful number, since it uses less digits than its factorization.

20979864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 20979864 is about 4580.3781503278. The cubic root of 20979864 is about 275.8042089672.

The spelling of 20979864 in words is "twenty million, nine hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 41 46 54 69 72 82 92 103 108 123 138 164 184 206 207 216 246 276 309 328 369 412 414 492 552 618 621 738 824 828 927 943 984 1107 1236 1242 1476 1656 1854 1886 2214 2369 2472 2484 2781 2829 2952 3708 3772 4223 4428 4738 4968 5562 5658 7107 7416 7544 8446 8487 8856 9476 11124 11316 12669 14214 16892 16974 18952 21321 22248 22632 25338 25461 28428 33784 33948 38007 42642 50676 50922 56856 63963 67896 76014 85284 97129 101352 101844 114021 127926 152028 170568 194258 203688 228042 255852 291387 304056 388516 456084 511704 582774 777032 874161 912168 1165548 1748322 2331096 2622483 3496644 5244966 6993288 10489932 20979864