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20350632 = 23317311609
BaseRepresentation
bin100110110100…
…0011010101000
31102021220211010
41031220122220
520202210012
62004103520
7334656201
oct115503250
942256733
1020350632
111053a805
126994ba0
1342a6bc3
1429ba5a8
151bbec3c
hex13686a8

20350632 has 64 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 6174720.

The previous prime is 20350621. The next prime is 20350639. The reversal of 20350632 is 23605302.

It is a junction number, because it is equal to n+sod(n) for n = 20350599 and 20350608.

It is not an unprimeable number, because it can be changed into a prime (20350639) 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 15 ways as a sum of consecutive naturals, for example, 11844 + ... + 13452.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 220350632 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 20350632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820800).

20350632 is an abundant number, since it is smaller than the sum of its proper divisors (35290968).

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

20350632 is a wasteful number, since it uses less digits than its factorization.

20350632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 20350632 is about 4511.1674763857. The cubic root of 20350632 is about 273.0188504205.

Adding to 20350632 its reverse (23605302), we get a palindrome (43955934).

The spelling of 20350632 in words is "twenty million, three hundred fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 1609 2108 3162 3218 4216 4827 6324 6436 9654 12648 12872 19308 27353 38616 49879 54706 82059 99758 109412 149637 164118 199516 218824 299274 328236 399032 598548 656472 847943 1197096 1695886 2543829 3391772 5087658 6783544 10175316 20350632