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13046000 = 245311593
BaseRepresentation
bin110001110001…
…000011110000
3220112210202012
4301301003300
511314433000
61143342052
7215613662
oct61610360
926483665
1013046000
117400720
124451928
13291a136
141a38532
15122a735
hexc710f0

13046000 has 80 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 4736000.

The previous prime is 13045999. The next prime is 13046029. The reversal of 13046000 is 64031.

It is a tau number, because it is divible by the number of its divisors (80).

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, 21704 + ... + 22296.

Almost surely, 213046000 is an apocalyptic number.

13046000 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 13046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

13046000 is an abundant number, since it is smaller than the sum of its proper divisors (21425008).

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

13046000 is a wasteful number, since it uses less digits than its factorization.

13046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13046000 is about 3611.9246946746. The cubic root of 13046000 is about 235.4104792102.

The spelling of 13046000 in words is "thirteen million, forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 593 880 1000 1100 1186 1375 2000 2200 2372 2750 2965 4400 4744 5500 5930 6523 9488 11000 11860 13046 14825 22000 23720 26092 29650 32615 47440 52184 59300 65230 74125 104368 118600 130460 148250 163075 237200 260920 296500 326150 521840 593000 652300 815375 1186000 1304600 1630750 2609200 3261500 6523000 13046000