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21140496 = 24321323491
BaseRepresentation
bin101000010100…
…1010000010000
31110210001022100
41100221100100
520402443441
62033040400
7344456046
oct120512020
943701270
1021140496
1110a2a193
1270b6100
1344c2590
142b44396
151cc8cb6
hex1429410

21140496 has 120 divisors (see below), whose sum is σ = 66620736. Its totient is φ = 6209280.

The previous prime is 21140423. The next prime is 21140501. The reversal of 21140496 is 69404112.

It is a super-2 number, since 2×211404962 = 893841142252032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42811 + ... + 43301.

Almost surely, 221140496 is an apocalyptic number.

21140496 is a gapful number since it is divisible by the number (26) 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 21140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33310368).

21140496 is an abundant number, since it is smaller than the sum of its proper divisors (45480240).

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

21140496 is a wasteful number, since it uses less digits than its factorization.

21140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21140496 is about 4597.8795112530. The cubic root of 21140496 is about 276.5063169795.

The spelling of 21140496 in words is "twenty-one million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 491 552 598 624 828 897 936 982 1104 1196 1473 1656 1794 1872 1964 2392 2691 2946 3312 3588 3928 4419 4784 5382 5892 6383 7176 7856 8838 10764 11293 11784 12766 14352 17676 19149 21528 22586 23568 25532 33879 35352 38298 43056 45172 51064 57447 67758 70704 76596 90344 101637 102128 114894 135516 146809 153192 180688 203274 229788 271032 293618 306384 406548 440427 459576 542064 587236 813096 880854 919152 1174472 1321281 1626192 1761708 2348944 2642562 3523416 5285124 7046832 10570248 21140496