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21214368 = 2532717619
BaseRepresentation
bin101000011101…
…1010010100000
31110220210122100
41100323102200
520412324433
62034410400
7345214320
oct120732240
943823570
1021214368
1110a7a73a
127130a00
13451a0a6
142b63280
151ce0b13
hex143b4a0

21214368 has 144 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5695488.

The previous prime is 21214327. The next prime is 21214373. The reversal of 21214368 is 86341212.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33963 + ... + 34581.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 221214368 is an apocalyptic number.

21214368 is a gapful number since it is divisible by the number (28) 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 21214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

21214368 is an abundant number, since it is smaller than the sum of its proper divisors (51905952).

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

21214368 is a wasteful number, since it uses less digits than its factorization.

21214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21214368 is about 4605.9057741122. The cubic root of 21214368 is about 276.8280112430.

The spelling of 21214368 in words is "twenty-one million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 619 672 714 816 952 1008 1071 1224 1238 1428 1632 1857 1904 2016 2142 2448 2476 2856 3714 3808 4284 4333 4896 4952 5571 5712 7428 8568 8666 9904 10523 11142 11424 12999 14856 17136 17332 19808 21046 22284 25998 29712 31569 34272 34664 38997 42092 44568 51996 59424 63138 69328 73661 77994 84184 89136 94707 103992 126276 138656 147322 155988 168368 178272 189414 207984 220983 252552 294644 311976 336736 378828 415968 441966 505104 589288 623952 662949 757656 883932 1010208 1178576 1247904 1325898 1515312 1767864 2357152 2651796 3030624 3535728 5303592 7071456 10607184 21214368