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10746978 = 23112113131
BaseRepresentation
bin101000111111…
…110001100010
3202020000002020
4220333301202
510222400403
61022202310
7160230204
oct50776142
922200066
1010746978
116080400
123723396
1322c3878
1415da774
15e24453
hexa3fc62

10746978 has 48 divisors (see below), whose sum is σ = 24016608. Its totient is φ = 3203200.

The previous prime is 10746977. The next prime is 10746979. The reversal of 10746978 is 87964701.

It is an interprime number because it is at equal distance from previous prime (10746977) and next prime (10746979).

It is a super-2 number, since 2×107469782 = 230995072264968, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10746971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81973 + ... + 82103.

It is an arithmetic number, because the mean of its divisors is an integer number (500346).

Almost surely, 210746978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008304).

10746978 is an abundant number, since it is smaller than the sum of its proper divisors (13269630).

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

10746978 is a wasteful number, since it uses less digits than its factorization.

10746978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 10746978 is about 3278.2583790787. The cubic root of 10746978 is about 220.6795653731.

The spelling of 10746978 in words is "ten million, seven hundred forty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 113 121 131 226 242 262 339 363 393 678 726 786 1243 1441 2486 2882 3729 4323 7458 8646 13673 14803 15851 27346 29606 31702 41019 44409 47553 82038 88818 95106 162833 325666 488499 976998 1791163 3582326 5373489 10746978