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13999440 = 2435713641
BaseRepresentation
bin110101011001…
…110101010000
3222100020121210
4311121311100
512040440230
61220020120
7226664460
oct65316520
928306553
1013999440
1179a1a94
124831640
132b920c0
141c05ba0
151367eb0
hexd59d50

13999440 has 160 divisors (see below), whose sum is σ = 53496576. Its totient is φ = 2949120.

The previous prime is 13999423. The next prime is 13999441. The reversal of 13999440 is 4499931.

13999440 is digitally balanced in base 2, because in such base 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13999441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21520 + ... + 22160.

Almost surely, 213999440 is an apocalyptic number.

13999440 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 13999440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748288).

13999440 is an abundant number, since it is smaller than the sum of its proper divisors (39497136).

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

13999440 is a wasteful number, since it uses less digits than its factorization.

13999440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13999440 is about 3741.5825528779. The cubic root of 13999440 is about 241.0110128517.

The spelling of 13999440 in words is "thirteen million, nine hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 641 728 780 840 910 1040 1092 1282 1365 1456 1560 1680 1820 1923 2184 2564 2730 3120 3205 3640 3846 4368 4487 5128 5460 6410 7280 7692 8333 8974 9615 10256 10920 12820 13461 15384 16666 17948 19230 21840 22435 24999 25640 26922 30768 33332 35896 38460 41665 44870 49998 51280 53844 58331 66664 67305 71792 76920 83330 89740 99996 107688 116662 124995 133328 134610 153840 166660 174993 179480 199992 215376 233324 249990 269220 291655 333320 349986 358960 399984 466648 499980 538440 583310 666640 699972 874965 933296 999960 1076880 1166620 1399944 1749930 1999920 2333240 2799888 3499860 4666480 6999720 13999440