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21196032 = 2831113193
BaseRepresentation
bin101000011011…
…0110100000000
31110212212111020
41100312310000
520411233112
62034145440
7345110004
oct120666400
943785436
1021196032
1110a67990
127122280
134511940
142b5a704
151cda48c
hex1436d00

21196032 has 144 divisors (see below), whose sum is σ = 66618048. Its totient is φ = 5898240.

The previous prime is 21196009. The next prime is 21196067. The reversal of 21196032 is 23069112.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 = 21195993 and 21196011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109728 + ... + 109920.

Almost surely, 221196032 is an apocalyptic number.

21196032 is a gapful number since it is divisible by the number (22) 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 21196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33309024).

21196032 is an abundant number, since it is smaller than the sum of its proper divisors (45422016).

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

21196032 is a wasteful number, since it uses less digits than its factorization.

21196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 21196032 is about 4603.9148558591. The cubic root of 21196032 is about 276.7482322693.

Subtracting 21196032 from its reverse (23069112), we obtain a triangular number (1873080 = T1935).

The spelling of 21196032 in words is "twenty-one million, one hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 193 208 256 264 286 312 352 384 386 416 429 528 572 579 624 704 768 772 832 858 1056 1144 1158 1248 1408 1544 1664 1716 2112 2123 2288 2316 2496 2509 2816 3088 3328 3432 4224 4246 4576 4632 4992 5018 6176 6369 6864 7527 8448 8492 9152 9264 9984 10036 12352 12738 13728 15054 16984 18304 18528 20072 24704 25476 27456 27599 30108 33968 36608 37056 40144 49408 50952 54912 55198 60216 67936 74112 80288 82797 101904 109824 110396 120432 135872 148224 160576 165594 203808 220792 240864 271744 321152 331188 407616 441584 481728 543488 642304 662376 815232 883168 963456 1324752 1630464 1766336 1926912 2649504 3532672 5299008 7065344 10598016 21196032