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20852496 = 24327137151
BaseRepresentation
bin100111110001…
…0111100010000
31110020102020200
41033202330100
520314234441
62022535200
7342146310
oct117427420
943212220
1020852496
1110852875
126b97500
134421472
142aab440
151c6d7b6
hex13e2f10

20852496 has 120 divisors (see below), whose sum is σ = 67626624. Its totient is φ = 5875200.

The previous prime is 20852473. The next prime is 20852501. The reversal of 20852496 is 69425802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20852496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138021 + ... + 138171.

Almost surely, 220852496 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 20852496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33813312).

20852496 is an abundant number, since it is smaller than the sum of its proper divisors (46774128).

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

20852496 is a wasteful number, since it uses less digits than its factorization.

20852496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20852496 is about 4566.4533283501. The cubic root of 20852496 is about 275.2449431962.

The spelling of 20852496 in words is "twenty million, eight hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 151 168 252 274 302 336 411 453 504 548 604 822 906 959 1008 1057 1096 1208 1233 1359 1644 1812 1918 2114 2192 2416 2466 2718 2877 3171 3288 3624 3836 4228 4932 5436 5754 6342 6576 7248 7672 8456 8631 9513 9864 10872 11508 12684 15344 16912 17262 19026 19728 20687 21744 23016 25368 34524 38052 41374 46032 50736 62061 69048 76104 82748 124122 138096 144809 152208 165496 186183 248244 289618 330992 372366 434427 496488 579236 744732 868854 992976 1158472 1303281 1489464 1737708 2316944 2606562 2978928 3475416 5213124 6950832 10426248 20852496