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14993440 = 2557111217
BaseRepresentation
bin111001001100…
…100000100000
31001012202010121
4321030200200
512314242230
61253210024
7241304440
oct71144040
931182117
1014993440
118510880
125030914
13314c677
141dc4120
1514b277a
hexe4c820

14993440 has 96 divisors (see below), whose sum is σ = 44198784. Its totient is φ = 4669440.

The previous prime is 14993437. The next prime is 14993441. The reversal of 14993440 is 4439941.

It is a junction number, because it is equal to n+sod(n) for n = 14993396 and 14993405.

It is not an unprimeable number, because it can be changed into a prime (14993441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11712 + ... + 12928.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 214993440 is an apocalyptic number.

14993440 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 14993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22099392).

14993440 is an abundant number, since it is smaller than the sum of its proper divisors (29205344).

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

14993440 is a wasteful number, since it uses less digits than its factorization.

14993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 14993440 is about 3872.1363612352. The cubic root of 14993440 is about 246.5852502992.

The spelling of 14993440 in words is "fourteen million, nine hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1217 1232 1540 1760 2434 2464 3080 4868 6085 6160 8519 9736 12170 12320 13387 17038 19472 24340 26774 34076 38944 42595 48680 53548 66935 68152 85190 93709 97360 107096 133870 136304 170380 187418 194720 214192 267740 272608 340760 374836 428384 468545 535480 681520 749672 937090 1070960 1363040 1499344 1874180 2141920 2998688 3748360 7496720 14993440