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21378504 = 2337553
BaseRepresentation
bin101000110001…
…1010111001000
31111020010210110
41101203113020
520433103004
62042114320
7346500000
oct121432710
944203713
1021378504
1111081a94
1271ab9a0
134576a04
142ba7000
151d24589
hex14635c8

21378504 has 96 divisors (see below), whose sum is σ = 63529920. Its totient is φ = 5992896.

The previous prime is 21378491. The next prime is 21378521. The reversal of 21378504 is 40587312.

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 23 ways as a sum of consecutive naturals, for example, 403342 + ... + 403394.

It is an arithmetic number, because the mean of its divisors is an integer number (661770).

Almost surely, 221378504 is an apocalyptic number.

21378504 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 21378504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31764960).

21378504 is an abundant number, since it is smaller than the sum of its proper divisors (42151416).

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

21378504 is an frugal number, since it uses more digits than its factorization.

21378504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 21378504 is about 4623.6894359375. The cubic root of 21378504 is about 277.5401191894.

The spelling of 21378504 in words is "twenty-one million, three hundred seventy-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 343 371 392 424 588 636 686 742 1029 1113 1176 1272 1372 1484 2058 2226 2401 2597 2744 2968 4116 4452 4802 5194 7203 7791 8232 8904 9604 10388 14406 15582 16807 18179 19208 20776 28812 31164 33614 36358 50421 54537 57624 62328 67228 72716 100842 109074 127253 134456 145432 201684 218148 254506 381759 403368 436296 509012 763518 890771 1018024 1527036 1781542 2672313 3054072 3563084 5344626 7126168 10689252 21378504