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11505940 = 2251743787
BaseRepresentation
bin101011111001…
…000100010100
3210122120011221
4223321010110
510421142230
61050340124
7166541005
oct53710424
923576157
1011505940
116549646
123a2a644
1324cb164
1417571ac
15102427a
hexaf9114

11505940 has 48 divisors (see below), whose sum is σ = 26212032. Its totient is φ = 4225536.

The previous prime is 11505919. The next prime is 11505943. The reversal of 11505940 is 4950511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14227 + ... + 15013.

It is an arithmetic number, because the mean of its divisors is an integer number (546084).

Almost surely, 211505940 is an apocalyptic number.

11505940 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 11505940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106016).

11505940 is an abundant number, since it is smaller than the sum of its proper divisors (14706092).

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

11505940 is a wasteful number, since it uses less digits than its factorization.

11505940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 11505940 is about 3392.0406837183. The cubic root of 11505940 is about 225.7567278137.

The spelling of 11505940 in words is "eleven million, five hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 787 860 1462 1574 2924 3148 3655 3935 7310 7870 13379 14620 15740 26758 33841 53516 66895 67682 133790 135364 169205 267580 338410 575297 676820 1150594 2301188 2876485 5752970 11505940