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13940520 = 23351159179
BaseRepresentation
bin110101001011…
…011100101000
3222020020210120
4311023130220
512032044040
61214443240
7226330626
oct65133450
928206716
1013940520
1179617a0
124803520
132b71339
141bcc516
1513557d0
hexd4b728

13940520 has 128 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 3303680.

The previous prime is 13940519. The next prime is 13940539. The reversal of 13940520 is 2504931.

13940520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77791 + ... + 77969.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 213940520 is an apocalyptic number.

13940520 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 13940520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328000).

13940520 is an abundant number, since it is smaller than the sum of its proper divisors (32715480).

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

13940520 is a wasteful number, since it uses less digits than its factorization.

13940520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13940520 is about 3733.7005771754. The cubic root of 13940520 is about 240.6724198442.

The spelling of 13940520 in words is "thirteen million, nine hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 179 220 236 264 295 330 354 358 440 472 537 590 649 660 708 716 885 895 1074 1180 1298 1320 1416 1432 1770 1790 1947 1969 2148 2360 2596 2685 3245 3540 3580 3894 3938 4296 5192 5370 5907 6490 7080 7160 7788 7876 9735 9845 10561 10740 11814 12980 15576 15752 19470 19690 21122 21480 23628 25960 29535 31683 38940 39380 42244 47256 52805 59070 63366 77880 78760 84488 105610 116171 118140 126732 158415 211220 232342 236280 253464 316830 348513 422440 464684 580855 633660 697026 929368 1161710 1267320 1394052 1742565 2323420 2788104 3485130 4646840 6970260 13940520