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10746080 = 255471429
BaseRepresentation
bin101000111111…
…100011100000
3202012221211222
4220333203200
510222333310
61022154212
7160224452
oct50774340
922187758
1010746080
11607a764
123722968
1322c3337
1415da2d2
15e24055
hexa3f8e0

10746080 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 4204032.

The previous prime is 10746053. The next prime is 10746103. The reversal of 10746080 is 8064701.

10746080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6806 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 210746080 is an apocalyptic number.

10746080 is a gapful number since it is divisible by the number (10) 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 10746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

10746080 is an abundant number, since it is smaller than the sum of its proper divisors (15199840).

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

10746080 is a wasteful number, since it uses less digits than its factorization.

10746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10746080 is about 3278.1214132488. The cubic root of 10746080 is about 220.6734186600.

The spelling of 10746080 in words is "ten million, seven hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1429 1504 1880 2858 3760 5716 7145 7520 11432 14290 22864 28580 45728 57160 67163 114320 134326 228640 268652 335815 537304 671630 1074608 1343260 2149216 2686520 5373040 10746080