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21476640 = 2535101443
BaseRepresentation
bin101000111101…
…1010100100000
31111102010102010
41101323110200
520444223030
62044152520
7350356053
oct121732440
944363363
1021476640
1111139799
127238740
1345ac593
142bd0a9a
151d436b0
hex147b520

21476640 has 96 divisors (see below), whose sum is σ = 68475456. Its totient is φ = 5657600.

The previous prime is 21476639. The next prime is 21476647. The reversal of 21476640 is 4667412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214766402 = 922492131379200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21476598 and 21476607.

It is not an unprimeable number, because it can be changed into a prime (21476647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48259 + ... + 48701.

It is an arithmetic number, because the mean of its divisors is an integer number (713286).

Almost surely, 221476640 is an apocalyptic number.

21476640 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 21476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237728).

21476640 is an abundant number, since it is smaller than the sum of its proper divisors (46998816).

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

21476640 is a wasteful number, since it uses less digits than its factorization.

21476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 21476640 is about 4634.2895895703. The cubic root of 21476640 is about 277.9641449195.

The spelling of 21476640 in words is "twenty-one million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 443 480 505 606 808 886 1010 1212 1329 1515 1616 1772 2020 2215 2424 2658 3030 3232 3544 4040 4430 4848 5316 6060 6645 7088 8080 8860 9696 10632 12120 13290 14176 16160 17720 21264 24240 26580 35440 42528 44743 48480 53160 70880 89486 106320 134229 178972 212640 223715 268458 357944 447430 536916 671145 715888 894860 1073832 1342290 1431776 1789720 2147664 2684580 3579440 4295328 5369160 7158880 10738320 21476640