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21696420 = 22351789239
BaseRepresentation
bin101001011000…
…0111110100100
31111211021220010
41102300332210
521023241140
62053010220
7352262604
oct122607644
944737803
1021696420
1111279929
127323970
134658625
142c4ac04
151d88880
hex14b0fa4

21696420 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5361664.

The previous prime is 21696413. The next prime is 21696427. The reversal of 21696420 is 2469612.

It is an interprime number because it is at equal distance from previous prime (21696413) and next prime (21696427).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21696427) 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, 90661 + ... + 90899.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 221696420 is an apocalyptic number.

21696420 is a gapful number since it is divisible by the number (20) 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 21696420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

21696420 is an abundant number, since it is smaller than the sum of its proper divisors (43621980).

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

21696420 is a wasteful number, since it uses less digits than its factorization.

21696420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 21696420 is about 4657.9416054734. The cubic root of 21696420 is about 278.9091056797.

The spelling of 21696420 in words is "twenty-one million, six hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 170 178 204 239 255 267 340 356 445 478 510 534 717 890 956 1020 1068 1195 1335 1434 1513 1780 2390 2670 2868 3026 3585 4063 4539 4780 5340 6052 7170 7565 8126 9078 12189 14340 15130 16252 18156 20315 21271 22695 24378 30260 40630 42542 45390 48756 60945 63813 81260 85084 90780 106355 121890 127626 212710 243780 255252 319065 361607 425420 638130 723214 1084821 1276260 1446428 1808035 2169642 3616070 4339284 5424105 7232140 10848210 21696420