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21074424 = 23371747157
BaseRepresentation
bin101000001100…
…1000111111000
31110122200200020
41100121013320
520343340144
62031410440
7344062320
oct120310770
943580606
1021074424
1110994588
127083a20
13449b497
142b28280
151cb4419
hex14191f8

21074424 has 128 divisors (see below), whose sum is σ = 65525760. Its totient is φ = 5511168.

The previous prime is 21074419. The next prime is 21074489. The reversal of 21074424 is 42447012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21074394 and 21074403.

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 31 ways as a sum of consecutive naturals, for example, 134154 + ... + 134310.

It is an arithmetic number, because the mean of its divisors is an integer number (511920).

Almost surely, 221074424 is an apocalyptic number.

21074424 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 21074424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32762880).

21074424 is an abundant number, since it is smaller than the sum of its proper divisors (44451336).

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

21074424 is a wasteful number, since it uses less digits than its factorization.

21074424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 21074424 is about 4590.6888372008. The cubic root of 21074424 is about 276.2179542825.

The spelling of 21074424 in words is "twenty-one million, seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 47 51 56 68 84 94 102 119 136 141 157 168 188 204 238 282 314 329 357 376 408 471 476 564 628 658 714 799 942 952 987 1099 1128 1256 1316 1428 1598 1884 1974 2198 2397 2632 2669 2856 3196 3297 3768 3948 4396 4794 5338 5593 6392 6594 7379 7896 8007 8792 9588 10676 11186 13188 14758 16014 16779 18683 19176 21352 22137 22372 26376 29516 32028 33558 37366 44274 44744 51653 56049 59032 64056 67116 74732 88548 103306 112098 125443 134232 149464 154959 177096 206612 224196 250886 309918 376329 413224 448392 501772 619836 752658 878101 1003544 1239672 1505316 1756202 2634303 3010632 3512404 5268606 7024808 10537212 21074424