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10896444 = 2234132199
BaseRepresentation
bin101001100100…
…010000111100
3202111121010000
4221210100330
510242141234
61025314300
7161422026
oct51442074
922447100
1010896444
116172729
123795990
132346900
141639016
15e53899
hexa6443c

10896444 has 90 divisors (see below), whose sum is σ = 31000200. Its totient is φ = 3335904.

The previous prime is 10896401. The next prime is 10896451. The reversal of 10896444 is 44469801.

It is a happy number.

10896444 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10896399 and 10896408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54657 + ... + 54855.

Almost surely, 210896444 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 10896444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500100).

10896444 is an abundant number, since it is smaller than the sum of its proper divisors (20103756).

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

10896444 is a wasteful number, since it uses less digits than its factorization.

10896444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10896444 is about 3300.9762192418. The cubic root of 10896444 is about 221.6979090517.

The spelling of 10896444 in words is "ten million, eight hundred ninety-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 199 234 324 338 351 398 468 507 597 676 702 796 1014 1053 1194 1404 1521 1791 2028 2106 2388 2587 3042 3582 4212 4563 5174 5373 6084 7164 7761 9126 10348 10746 13689 15522 16119 18252 21492 23283 27378 31044 32238 33631 46566 54756 64476 67262 69849 93132 100893 134524 139698 201786 209547 279396 302679 403572 419094 605358 838188 908037 1210716 1816074 2724111 3632148 5448222 10896444