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21796380 = 22325172419
BaseRepresentation
bin101001100100…
…1011000011100
31112000101000100
41103021120130
521034441010
62055101100
7353160204
oct123113034
945011010
1021796380
1111337a41
127371790
134691c88
142c75404
151da82c0
hex14c961c

21796380 has 108 divisors (see below), whose sum is σ = 70401240. Its totient is φ = 5457408.

The previous prime is 21796351. The next prime is 21796393. The reversal of 21796380 is 8369712.

21796380 is a `hidden beast` number, since 2 + 17 + 9 + 638 + 0 = 666.

It is a super-2 number, since 2×217963802 = 950164362208800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51811 + ... + 52229.

Almost surely, 221796380 is an apocalyptic number.

21796380 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 21796380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35200620).

21796380 is an abundant number, since it is smaller than the sum of its proper divisors (48604860).

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

21796380 is a wasteful number, since it uses less digits than its factorization.

21796380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21796380 is about 4668.6593364691. The cubic root of 21796380 is about 279.3367806522.

The spelling of 21796380 in words is "twenty-one million, seven hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 419 510 578 612 765 838 867 1020 1156 1257 1445 1530 1676 1734 2095 2514 2601 2890 3060 3468 3771 4190 4335 5028 5202 5780 6285 7123 7542 8380 8670 10404 12570 13005 14246 15084 17340 18855 21369 25140 26010 28492 35615 37710 42738 52020 64107 71230 75420 85476 106845 121091 128214 142460 213690 242182 256428 320535 363273 427380 484364 605455 641070 726546 1089819 1210910 1282140 1453092 1816365 2179638 2421820 3632730 4359276 5449095 7265460 10898190 21796380