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20103564 = 22313223431
BaseRepresentation
bin100110010110…
…0000110001100
31101211100220110
41030230012030
520121303224
61554520020
7332606655
oct114540614
941740813
1020103564
1110391118
126896010
13421b600
14295452c
151b71929
hex132c18c

20103564 has 72 divisors (see below), whose sum is σ = 53125632. Its totient is φ = 5903040.

The previous prime is 20103553. The next prime is 20103599. The reversal of 20103564 is 46530102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20103564.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46429 + ... + 46859.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 220103564 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 20103564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562816).

20103564 is an abundant number, since it is smaller than the sum of its proper divisors (33022068).

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

20103564 is a wasteful number, since it uses less digits than its factorization.

20103564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20103564 is about 4483.6998115396. The cubic root of 20103564 is about 271.9094818466.

Adding to 20103564 its reverse (46530102), we get a palindrome (66633666).

The spelling of 20103564 in words is "twenty million, one hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 431 507 598 676 862 897 1014 1196 1293 1724 1794 2028 2586 3588 3887 5172 5603 7774 9913 11206 11661 15548 16809 19826 22412 23322 29739 33618 39652 46644 59478 67236 72839 118956 128869 145678 218517 257738 291356 386607 437034 515476 773214 874068 1546428 1675297 3350594 5025891 6701188 10051782 20103564