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20193536 = 281171101
BaseRepresentation
bin100110100001…
…0000100000000
31101222221022202
41031002010000
520132143121
62000452332
7333433166
oct115020400
941887282
1020193536
1110442780
12691a0a8
13425054c
142979236
151b8d40b
hex1342100

20193536 has 72 divisors (see below), whose sum is σ = 45033408. Its totient is φ = 8960000.

The previous prime is 20193533. The next prime is 20193559. The reversal of 20193536 is 63539102.

It is a junction number, because it is equal to n+sod(n) for n = 20193499 and 20193508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199886 + ... + 199986.

It is an arithmetic number, because the mean of its divisors is an integer number (625464).

Almost surely, 220193536 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 20193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516704).

20193536 is an abundant number, since it is smaller than the sum of its proper divisors (24839872).

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

20193536 is a wasteful number, since it uses less digits than its factorization.

20193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 20193536 is about 4493.7218427491. The cubic root of 20193536 is about 272.3145150771.

It can be divided in two parts, 2019 and 3536, that added together give a palindrome (5555).

The spelling of 20193536 in words is "twenty million, one hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 101 128 142 176 202 256 284 352 404 568 704 781 808 1111 1136 1408 1562 1616 2222 2272 2816 3124 3232 4444 4544 6248 6464 7171 8888 9088 12496 12928 14342 17776 18176 24992 25856 28684 35552 49984 57368 71104 78881 99968 114736 142208 157762 199936 229472 284416 315524 458944 631048 917888 1262096 1835776 2524192 5048384 10096768 20193536