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10964382 = 2311132983
BaseRepresentation
bin101001110100…
…110110011110
3202122001022020
4221310312132
510301330012
61031001010
7162124062
oct51646636
922561266
1010964382
116209780
123809166
13236b800
141655aa2
15e68a8c
hexa74d9e

10964382 has 48 divisors (see below), whose sum is σ = 25930368. Its totient is φ = 3063840.

The previous prime is 10964363. The next prime is 10964411. The reversal of 10964382 is 28346901.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10663 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (540216).

Almost surely, 210964382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10964382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965184).

10964382 is an abundant number, since it is smaller than the sum of its proper divisors (14965986).

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

10964382 is a wasteful number, since it uses less digits than its factorization.

10964382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10964382 is about 3311.2508210645. The cubic root of 10964382 is about 222.1577079205.

The spelling of 10964382 in words is "ten million, nine hundred sixty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 983 1014 1859 1966 2949 3718 5577 5898 10813 11154 12779 21626 25558 32439 38337 64878 76674 140569 166127 281138 332254 421707 498381 843414 996762 1827397 3654794 5482191 10964382