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14899040 = 2551321929
BaseRepresentation
bin111000110101…
…011101100000
31001000221122022
4320311131200
512303232130
61251201012
7240432302
oct70653540
931027568
1014899040
118456962
124ba6168
133118700
141d9b972
1514947e5
hexe35760

14899040 has 144 divisors (see below), whose sum is σ = 41504400. Its totient is φ = 5031936.

The previous prime is 14899039. The next prime is 14899043. The reversal of 14899040 is 4099841.

14899040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14899043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513746 + ... + 513774.

It is an arithmetic number, because the mean of its divisors is an integer number (288225).

Almost surely, 214899040 is an apocalyptic number.

14899040 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 14899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752200).

14899040 is an abundant number, since it is smaller than the sum of its proper divisors (26605360).

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

14899040 is a wasteful number, since it uses less digits than its factorization.

14899040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 14899040 is about 3859.9274604583. The cubic root of 14899040 is about 246.0666530121.

The spelling of 14899040 in words is "fourteen million, eight hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 29 32 38 40 52 58 65 76 80 95 104 116 130 145 152 160 169 190 208 232 247 260 290 304 338 377 380 416 464 494 520 551 580 608 676 754 760 845 928 988 1040 1102 1160 1235 1352 1508 1520 1690 1885 1976 2080 2204 2320 2470 2704 2755 3016 3040 3211 3380 3770 3952 4408 4640 4901 4940 5408 5510 6032 6422 6760 7163 7540 7904 8816 9802 9880 11020 12064 12844 13520 14326 15080 16055 17632 19604 19760 22040 24505 25688 27040 28652 30160 32110 35815 39208 39520 44080 49010 51376 57304 60320 64220 71630 78416 88160 93119 98020 102752 114608 128440 143260 156832 186238 196040 229216 256880 286520 372476 392080 465595 513760 573040 744952 784160 931190 1146080 1489904 1862380 2979808 3724760 7449520 14899040