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21664104 = 23371119617
BaseRepresentation
bin101001010100…
…1000101101000
31111202122120020
41102221011220
521021222404
62052200440
7352066440
oct122510550
944678506
1021664104
1111257620
127309120
1346469c7
142c3d120
151d7ded9
hex14a9168

21664104 has 128 divisors (see below), whose sum is σ = 71193600. Its totient is φ = 5322240.

The previous prime is 21664081. The next prime is 21664109. The reversal of 21664104 is 40146612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21664109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34804 + ... + 35420.

It is an arithmetic number, because the mean of its divisors is an integer number (556200).

Almost surely, 221664104 is an apocalyptic number.

21664104 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 21664104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35596800).

21664104 is an abundant number, since it is smaller than the sum of its proper divisors (49529496).

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

21664104 is a wasteful number, since it uses less digits than its factorization.

21664104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21664104 is about 4654.4713985586. The cubic root of 21664104 is about 278.7705620042.

The spelling of 21664104 in words is "twenty-one million, six hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 617 627 798 836 924 1064 1234 1254 1463 1596 1672 1848 1851 2468 2508 2926 3192 3702 4319 4389 4936 5016 5852 6787 7404 8638 8778 11704 11723 12957 13574 14808 17276 17556 20361 23446 25914 27148 34552 35112 35169 40722 46892 47509 51828 54296 70338 81444 82061 93784 95018 103656 128953 140676 142527 162888 164122 190036 246183 257906 281352 285054 328244 380072 386859 492366 515812 570108 656488 773718 902671 984732 1031624 1140216 1547436 1805342 1969464 2708013 3094872 3610684 5416026 7221368 10832052 21664104