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13220040 = 2335412687
BaseRepresentation
bin110010011011…
…100011001000
3220212122111010
4302123203020
511341020130
61151203520
7220240251
oct62334310
926778433
1013220040
11750a459
1245165a0
13297b412
141a81b28
1512620b0
hexc9b8c8

13220040 has 64 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3438080.

The previous prime is 13220023. The next prime is 13220041. The reversal of 13220040 is 4002231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13219998 and 13220025.

It is not an unprimeable number, because it can be changed into a prime (13220041) 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, 3577 + ... + 6263.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 213220040 is an apocalyptic number.

13220040 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 13220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13220040 is an abundant number, since it is smaller than the sum of its proper divisors (27422520).

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

13220040 is a wasteful number, since it uses less digits than its factorization.

13220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13220040 is about 3635.9372931886. The cubic root of 13220040 is about 236.4526885174.

Adding to 13220040 its reverse (4002231), we get a palindrome (17222271).

The spelling of 13220040 in words is "thirteen million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2687 4920 5374 8061 10748 13435 16122 21496 26870 32244 40305 53740 64488 80610 107480 110167 161220 220334 322440 330501 440668 550835 661002 881336 1101670 1322004 1652505 2203340 2644008 3305010 4406680 6610020 13220040