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20968506 = 23213261113
BaseRepresentation
bin100111111111…
…1010000111010
31110110022101100
41033333100322
520331443011
62025232230
7343141446
oct117772072
943408340
1020968506
1110921a49
127032676
134462200
142adb826
151c92d56
hex13ff43a

20968506 has 72 divisors (see below), whose sum is σ = 50444316. Its totient is φ = 6289920.

The previous prime is 20968499. The next prime is 20968511. The reversal of 20968506 is 60586902.

It can be written as a sum of positive squares in 6 ways, for example, as 1121481 + 19847025 = 1059^2 + 4455^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185506 + ... + 185618.

Almost surely, 220968506 is an apocalyptic number.

20968506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20968506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222158).

20968506 is an abundant number, since it is smaller than the sum of its proper divisors (29475810).

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

20968506 is a wasteful number, since it uses less digits than its factorization.

20968506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 20968506 is about 4579.1381285128. The cubic root of 20968506 is about 275.7544287004.

The spelling of 20968506 in words is "twenty million, nine hundred sixty-eight thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 113 117 122 169 183 226 234 338 339 366 507 549 678 793 1014 1017 1098 1469 1521 1586 2034 2379 2938 3042 4407 4758 6893 7137 8814 10309 13221 13786 14274 19097 20618 20679 26442 30927 38194 41358 57291 61854 62037 89609 92781 114582 124074 171873 179218 185562 268827 343746 537654 806481 1164917 1612962 2329834 3494751 6989502 10484253 20968506