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13589940 = 223571319131
BaseRepresentation
bin110011110101…
…110110110100
3221120102220010
4303311312310
511434334230
61203140220
7223340550
oct63656664
927512803
1013589940
117742361
124674670
132a7a8b0
141b3a860
1512d69b0
hexcf5db4

13589940 has 192 divisors, whose sum is σ = 49674240. Its totient is φ = 2695680.

The previous prime is 13589929. The next prime is 13589957. The reversal of 13589940 is 4998531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103675 + ... + 103805.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 213589940 is an apocalyptic number.

13589940 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 13589940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

13589940 is an abundant number, since it is smaller than the sum of its proper divisors (36084300).

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

13589940 is a wasteful number, since it uses less digits than its factorization.

13589940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 13589940 is about 3686.4535803398. The cubic root of 13589940 is about 238.6377687652.

The spelling of 13589940 in words is "thirteen million, five hundred eighty-nine thousand, nine hundred forty".