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21374976 = 21137271
BaseRepresentation
bin101000110001…
…0100000000000
31111012221221210
41101202200000
520432444401
62042050120
7346453500
oct121424000
944187853
1021374976
111107a377
1271a9940
13457521c
142ba5a00
151d234d6
hex1462800

21374976 has 144 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 6021120.

The previous prime is 21374971. The next prime is 21375007. The reversal of 21374976 is 67947312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21374971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301021 + ... + 301091.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 221374976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

21374976 is an abundant number, since it is smaller than the sum of its proper divisors (45848544).

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

21374976 is an equidigital number, since it uses as much as digits as its factorization.

21374976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 21374976 is about 4623.3079066833. The cubic root of 21374976 is about 277.5248512765.

It can be divided in two parts, 21 and 374976, that multiplied together give a triangular number (7874496 = T3968).

The spelling of 21374976 in words is "twenty-one million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 71 84 96 98 112 128 142 147 168 192 196 213 224 256 284 294 336 384 392 426 448 497 512 568 588 672 768 784 852 896 994 1024 1136 1176 1344 1491 1536 1568 1704 1792 1988 2048 2272 2352 2688 2982 3072 3136 3408 3479 3584 3976 4544 4704 5376 5964 6144 6272 6816 6958 7168 7952 9088 9408 10437 10752 11928 12544 13632 13916 14336 15904 18176 18816 20874 21504 23856 25088 27264 27832 31808 36352 37632 41748 43008 47712 50176 54528 55664 63616 72704 75264 83496 95424 100352 109056 111328 127232 145408 150528 166992 190848 218112 222656 254464 301056 333984 381696 436224 445312 508928 667968 763392 890624 1017856 1335936 1526784 1781248 2671872 3053568 3562496 5343744 7124992 10687488 21374976