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21697962 = 231141319
BaseRepresentation
bin101001011000…
…1010110101010
31111211101000020
41102301112222
521023313322
62053021310
7352300236
oct122612652
944741006
1021697962
1111280000
127324836
134659240
142c4b5c6
151d8905c
hex14b15aa

21697962 has 80 divisors (see below), whose sum is σ = 54112800. Its totient is φ = 5749920.

The previous prime is 21697961. The next prime is 21697969. The reversal of 21697962 is 26979612.

Its product of digits (81648) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21697961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1141989 + ... + 1142007.

It is an arithmetic number, because the mean of its divisors is an integer number (676410).

Almost surely, 221697962 is an apocalyptic number.

21697962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21697962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056400).

21697962 is an abundant number, since it is smaller than the sum of its proper divisors (32414838).

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

21697962 is a wasteful number, since it uses less digits than its factorization.

21697962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 21697962 is about 4658.1071262907. The cubic root of 21697962 is about 278.9157130317.

The spelling of 21697962 in words is "twenty-one million, six hundred ninety-seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 121 143 209 242 247 286 363 418 429 494 627 726 741 858 1254 1331 1482 1573 2299 2662 2717 3146 3993 4598 4719 5434 6897 7986 8151 9438 13794 14641 16302 17303 25289 29282 29887 34606 43923 50578 51909 59774 75867 87846 89661 103818 151734 179322 190333 278179 328757 380666 556358 570999 657514 834537 986271 1141998 1669074 1972542 3616327 7232654 10848981 21697962