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13339440 = 2432597191
BaseRepresentation
bin110010111000…
…101100110000
3221002201021100
4302320230300
511403330230
61153524400
7221245332
oct62705460
927081240
1013339440
117591134
124573700
1329c087a
141ab3452
151287660
hexcb8b30

13339440 has 120 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3502080.

The previous prime is 13339429. The next prime is 13339531. The reversal of 13339440 is 4493331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 69745 + ... + 69935.

Almost surely, 213339440 is an apocalyptic number.

13339440 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 13339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

13339440 is an abundant number, since it is smaller than the sum of its proper divisors (32157648).

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

13339440 is a wasteful number, since it uses less digits than its factorization.

13339440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13339440 is about 3652.3198107504. The cubic root of 13339440 is about 237.1624160436.

The spelling of 13339440 in words is "thirteen million, three hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 191 194 240 291 360 382 388 485 573 582 720 764 776 873 955 970 1146 1164 1455 1528 1552 1719 1746 1910 1940 2292 2328 2865 2910 3056 3438 3492 3820 3880 4365 4584 4656 5730 5820 6876 6984 7640 7760 8595 8730 9168 11460 11640 13752 13968 15280 17190 17460 18527 22920 23280 27504 34380 34920 37054 45840 55581 68760 69840 74108 92635 111162 137520 148216 166743 185270 222324 277905 296432 333486 370540 444648 555810 666972 741080 833715 889296 1111620 1333944 1482160 1667430 2223240 2667888 3334860 4446480 6669720 13339440