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20532672 = 263243829
BaseRepresentation
bin100111001010…
…0110111000000
31102122011112100
41032110313000
520224021142
62012030400
7336345006
oct116246700
942564470
1020532672
1110654556
126a62400
13433ba14
142a26a76
151c08b4c
hex1394dc0

20532672 has 84 divisors (see below), whose sum is σ = 60294520. Its totient is φ = 6676992.

The previous prime is 20532641. The next prime is 20532683. The reversal of 20532672 is 27623502.

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 11 ways as a sum of consecutive naturals, for example, 24354 + ... + 25182.

Almost surely, 220532672 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 20532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30147260).

20532672 is an abundant number, since it is smaller than the sum of its proper divisors (39761848).

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

20532672 is a wasteful number, since it uses less digits than its factorization.

20532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20532672 is about 4531.2991514576. The cubic root of 20532672 is about 273.8305023766.

The spelling of 20532672 in words is "twenty million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 829 1032 1376 1548 1658 2064 2487 2752 3096 3316 4128 4974 6192 6632 7461 8256 9948 12384 13264 14922 19896 24768 26528 29844 35647 39792 53056 59688 71294 79584 106941 119376 142588 159168 213882 238752 285176 320823 427764 477504 570352 641646 855528 1140704 1283292 1711056 2281408 2566584 3422112 5133168 6844224 10266336 20532672