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20920032 = 253471153
BaseRepresentation
bin100111111001…
…1011011100000
31110100211220000
41033303123200
520323420112
62024220000
7342550230
oct117633340
943324800
1020920032
1110899591
12700a600
134446123
142ac7cc0
151c837dc
hex13f36e0

20920032 has 120 divisors (see below), whose sum is σ = 70375536. Its totient is φ = 5971968.

The previous prime is 20920019. The next prime is 20920033. The reversal of 20920032 is 23002902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20919987 and 20920014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17568 + ... + 18720.

Almost surely, 220920032 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 20920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35187768).

20920032 is an abundant number, since it is smaller than the sum of its proper divisors (49455504).

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

20920032 is a wasteful number, since it uses less digits than its factorization.

20920032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20920032 is about 4573.8421485661. The cubic root of 20920032 is about 275.5417727334.

Adding to 20920032 its reverse (23002902), we get a palindrome (43922934).

The spelling of 20920032 in words is "twenty million, nine hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1153 1296 1512 2016 2268 2306 2592 3024 3459 4536 4612 6048 6918 8071 9072 9224 10377 13836 16142 18144 18448 20754 24213 27672 31131 32284 36896 41508 48426 55344 62262 64568 72639 83016 93393 96852 110688 124524 129136 145278 166032 186786 193704 217917 249048 258272 290556 332064 373572 387408 435834 498096 581112 653751 747144 774816 871668 996192 1162224 1307502 1494288 1743336 2324448 2615004 2988576 3486672 5230008 6973344 10460016 20920032