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20597382 = 2331323761
BaseRepresentation
bin100111010010…
…0101010000110
31102202110022000
41032210222012
520233104012
62013250130
7340034451
oct116445206
942673260
1020597382
1110699133
126a93946
134362300
142a42498
151c1cddc
hex13a4a86

20597382 has 96 divisors (see below), whose sum is σ = 51737760. Its totient is φ = 6065280.

The previous prime is 20597333. The next prime is 20597383. The reversal of 20597382 is 28379502.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20597383) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 337632 + ... + 337692.

It is an arithmetic number, because the mean of its divisors is an integer number (538935).

Almost surely, 220597382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20597382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25868880).

20597382 is an abundant number, since it is smaller than the sum of its proper divisors (31140378).

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

20597382 is a wasteful number, since it uses less digits than its factorization.

20597382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20597382 is about 4538.4338708414. The cubic root of 20597382 is about 274.1178653584.

The spelling of 20597382 in words is "twenty million, five hundred ninety-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 61 74 78 111 117 122 169 183 222 234 333 338 351 366 481 507 549 666 702 793 962 999 1014 1098 1443 1521 1586 1647 1998 2257 2379 2886 3042 3294 4329 4514 4563 4758 6253 6771 7137 8658 9126 10309 12506 12987 13542 14274 18759 20313 20618 21411 25974 29341 30927 37518 40626 42822 56277 58682 60939 61854 88023 92781 112554 121878 168831 176046 185562 264069 278343 337662 381433 528138 556686 762866 792207 1144299 1584414 2288598 3432897 6865794 10298691 20597382