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20338032 = 24311132963
BaseRepresentation
bin100110110010…
…1010101110000
31102021021112110
41031211111300
520201304112
62003525320
7334604361
oct115452560
942237473
1020338032
11105312a0
126989840
1342a1250
1429b5b68
151bbb13c
hex1365570

20338032 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5687040.

The previous prime is 20338027. The next prime is 20338057. The reversal of 20338032 is 23083302.

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, 5383 + ... + 8345.

Almost surely, 220338032 is an apocalyptic number.

20338032 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 20338032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

20338032 is an abundant number, since it is smaller than the sum of its proper divisors (41408016).

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

20338032 is a wasteful number, since it uses less digits than its factorization.

20338032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20338032 is about 4509.7707258795. The cubic root of 20338032 is about 272.9624926668.

The spelling of 20338032 in words is "twenty million, three hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 2963 3432 5926 6864 8889 11852 17778 23704 32593 35556 38519 47408 65186 71112 77038 97779 115557 130372 142224 154076 195558 231114 260744 308152 391116 423709 462228 521488 616304 782232 847418 924456 1271127 1564464 1694836 1848912 2542254 3389672 5084508 6779344 10169016 20338032