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11348680 = 235740531
BaseRepresentation
bin101011010010…
…101011001000
3210100120110111
4223102223020
510401124210
61043124104
7165314350
oct53225310
923316414
1011348680
116451482
123973634
1324746c5
141715b60
15ee288a
hexad2ac8

11348680 has 32 divisors (see below), whose sum is σ = 29183040. Its totient is φ = 3890880.

The previous prime is 11348671. The next prime is 11348723. The reversal of 11348680 is 8684311.

11348680 = T133 + T134 + ... + T412.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19986 + ... + 20545.

It is an arithmetic number, because the mean of its divisors is an integer number (911970).

Almost surely, 211348680 is an apocalyptic number.

11348680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11348680 is an abundant number, since it is smaller than the sum of its proper divisors (17834360).

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

11348680 is a wasteful number, since it uses less digits than its factorization.

11348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40549 (or 40545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11348680 is about 3368.7801946699. The cubic root of 11348680 is about 224.7234792304.

The spelling of 11348680 in words is "eleven million, three hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 40531 81062 162124 202655 283717 324248 405310 567434 810620 1134868 1418585 1621240 2269736 2837170 5674340 11348680