Search a number
-
+
10981836 = 22322967157
BaseRepresentation
bin101001111001…
…000111001100
3202122221020200
4221321013030
510302404321
61031213500
7162226005
oct51710714
922587220
1010981836
1162208a8
123817290
132376738
14165c1ac
15e6dd26
hexa791cc

10981836 has 72 divisors (see below), whose sum is σ = 29331120. Its totient is φ = 3459456.

The previous prime is 10981801. The next prime is 10981849. The reversal of 10981836 is 63818901.

10981836 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10981836.

It is a congruent number.

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, 69870 + ... + 70026.

Almost surely, 210981836 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 10981836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665560).

10981836 is an abundant number, since it is smaller than the sum of its proper divisors (18349284).

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

10981836 is a wasteful number, since it uses less digits than its factorization.

10981836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10981836 is about 3313.8853329589. The cubic root of 10981836 is about 222.2755283602.

The spelling of 10981836 in words is "ten million, nine hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 157 174 201 261 268 314 348 402 471 522 603 628 804 942 1044 1206 1413 1884 1943 2412 2826 3886 4553 5652 5829 7772 9106 10519 11658 13659 17487 18212 21038 23316 27318 31557 34974 40977 42076 54636 63114 69948 81954 94671 126228 163908 189342 305051 378684 610102 915153 1220204 1830306 2745459 3660612 5490918 10981836