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10996944 = 2437231423
BaseRepresentation
bin101001111100…
…110011010000
3202200200222020
4221330303100
510303400234
61031411440
7162321030
oct51746320
922620866
1010996944
116231192
123823b80
13238058a
1416638c0
15e73549
hexa7ccd0

10996944 has 80 divisors (see below), whose sum is σ = 33902592. Its totient is φ = 3003264.

The previous prime is 10996933. The next prime is 10996957. The reversal of 10996944 is 44969901.

10996944 is digitally balanced in base 2 and base 8, 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 (42).

10996944 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10996896 and 10996905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7017 + ... + 8439.

Almost surely, 210996944 is an apocalyptic number.

10996944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951296).

10996944 is an abundant number, since it is smaller than the sum of its proper divisors (22905648).

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

10996944 is a wasteful number, since it uses less digits than its factorization.

10996944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 10996944 is about 3316.1640490181. The cubic root of 10996944 is about 222.3774117459.

The spelling of 10996944 in words is "ten million, nine hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1423 1932 2576 2846 3864 4269 5692 7728 8538 9961 11384 17076 19922 22768 29883 32729 34152 39844 59766 65458 68304 79688 98187 119532 130916 159376 196374 229103 239064 261832 392748 458206 478128 523664 687309 785496 916412 1374618 1570992 1832824 2749236 3665648 5498472 10996944