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21368424 = 23371131373
BaseRepresentation
bin101000110000…
…0111001101000
31111012121222010
41101200321220
520432242144
62041555520
7346425420
oct121407150
944177863
1021368424
1111075460
1271a5ba0
13457224c
142ba3480
151d215b9
hex1460e68

21368424 has 128 divisors (see below), whose sum is σ = 68935680. Its totient is φ = 5356800.

The previous prime is 21368401. The next prime is 21368429. The reversal of 21368424 is 42486312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21368391 and 21368400.

It is not an unprimeable number, because it can be changed into a prime (21368429) 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, 57102 + ... + 57474.

It is an arithmetic number, because the mean of its divisors is an integer number (538560).

Almost surely, 221368424 is an apocalyptic number.

21368424 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 21368424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467840).

21368424 is an abundant number, since it is smaller than the sum of its proper divisors (47567256).

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

21368424 is a wasteful number, since it uses less digits than its factorization.

21368424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 21368424 is about 4622.5992688097. The cubic root of 21368424 is about 277.4964921235.

The spelling of 21368424 in words is "twenty-one million, three hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 373 434 462 616 651 682 744 746 868 924 1023 1119 1302 1364 1492 1736 1848 2046 2238 2387 2604 2611 2728 2984 4092 4103 4476 4774 5208 5222 7161 7833 8184 8206 8952 9548 10444 11563 12309 14322 15666 16412 19096 20888 23126 24618 28644 28721 31332 32824 34689 46252 49236 57288 57442 62664 69378 80941 86163 92504 98472 114884 127193 138756 161882 172326 229768 242823 254386 277512 323764 344652 381579 485646 508772 647528 689304 763158 890351 971292 1017544 1526316 1780702 1942584 2671053 3052632 3561404 5342106 7122808 10684212 21368424