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21691692 = 22331119312
BaseRepresentation
bin101001010111…
…1110100101100
31111211001102000
41102233310230
521023113232
62052532300
7352243041
oct122576454
944731360
1021691692
1111276320
127321090
134656429
142c491c8
151d8727c
hex14afd2c

21691692 has 144 divisors (see below), whose sum is σ = 66729600. Its totient is φ = 6026400.

The previous prime is 21691633. The next prime is 21691693. The reversal of 21691692 is 29619612.

It is a super-3 number, since 3×216916923 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21691693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699717 + ... + 699747.

It is an arithmetic number, because the mean of its divisors is an integer number (463400).

Almost surely, 221691692 is an apocalyptic number.

21691692 is a gapful number since it is divisible by the number (22) 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 21691692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33364800).

21691692 is an abundant number, since it is smaller than the sum of its proper divisors (45037908).

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

21691692 is a wasteful number, since it uses less digits than its factorization.

21691692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21691692 is about 4657.4340575042. The cubic root of 21691692 is about 278.8888446097. Note that the first 4 decimals are identical.

The spelling of 21691692 in words is "twenty-one million, six hundred ninety-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 31 33 36 38 44 54 57 62 66 76 93 99 108 114 124 132 171 186 198 209 228 279 297 341 342 372 396 418 513 558 589 594 627 682 684 836 837 961 1023 1026 1116 1178 1188 1254 1364 1674 1767 1881 1922 2046 2052 2356 2508 2883 3069 3348 3534 3762 3844 4092 5301 5643 5766 6138 6479 7068 7524 8649 9207 10571 10602 11286 11532 12276 12958 15903 17298 18259 18414 19437 21142 21204 22572 25916 25947 31713 31806 34596 36518 36828 38874 42284 51894 54777 58311 63426 63612 73036 77748 95139 103788 109554 116622 126852 164331 174933 190278 200849 219108 233244 285417 328662 349866 380556 401698 492993 570834 602547 657324 699732 803396 985986 1141668 1205094 1807641 1971972 2410188 3615282 5422923 7230564 10845846 21691692