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21437040 = 2435179499
BaseRepresentation
bin101000111000…
…1101001110000
31111100010002110
41101301221300
520441441130
62043245320
7350132442
oct121615160
944303073
1021437040
1111111a69
127219840
134597551
142bc0492
151d36ab0
hex1471a70

21437040 has 80 divisors (see below), whose sum is σ = 66960000. Its totient is φ = 5673216.

The previous prime is 21437021. The next prime is 21437041. The reversal of 21437040 is 4073412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21436998 and 21437016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21437041) 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, 42711 + ... + 43209.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 221437040 is an apocalyptic number.

21437040 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 21437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

21437040 is an abundant number, since it is smaller than the sum of its proper divisors (45522960).

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

21437040 is a wasteful number, since it uses less digits than its factorization.

21437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 21437040 is about 4630.0151187658. The cubic root of 21437040 is about 277.7931971292.

The spelling of 21437040 in words is "twenty-one million, four hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 499 537 716 895 998 1074 1432 1497 1790 1996 2148 2495 2685 2864 2994 3580 3992 4296 4990 5370 5988 7160 7485 7984 8592 9980 10740 11976 14320 14970 19960 21480 23952 29940 39920 42960 59880 89321 119760 178642 267963 357284 446605 535926 714568 893210 1071852 1339815 1429136 1786420 2143704 2679630 3572840 4287408 5359260 7145680 10718520 21437040