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14943456 = 2532115389
BaseRepresentation
bin111001000000…
…010011100000
31001010012120100
4321000103200
512311142311
61252142400
7241005633
oct71002340
931105510
1014943456
118487270
125007a00
1331329a8
141dadc1a
1514a2a56
hexe404e0

14943456 has 144 divisors (see below), whose sum is σ = 47764080. Its totient is φ = 4392960.

The previous prime is 14943431. The next prime is 14943463. The reversal of 14943456 is 65434941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 14943456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167860 + ... + 167948.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 214943456 is an apocalyptic number.

14943456 is a gapful number since it is divisible by the number (16) 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 14943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882040).

14943456 is an abundant number, since it is smaller than the sum of its proper divisors (32820624).

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

14943456 is a wasteful number, since it uses less digits than its factorization.

14943456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 14943456 is about 3865.6766548691. The cubic root of 14943456 is about 246.3109294634.

It can be divided in two parts, 1494 and 3456, that added together give a triangular number (4950 = T99).

The spelling of 14943456 in words is "fourteen million, nine hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 89 96 99 106 132 144 159 176 178 198 212 264 267 288 318 352 356 396 424 477 528 534 583 636 712 792 801 848 954 979 1056 1068 1166 1272 1424 1584 1602 1696 1749 1908 1958 2136 2332 2544 2848 2937 3168 3204 3498 3816 3916 4272 4664 4717 5088 5247 5874 6408 6996 7632 7832 8544 8811 9328 9434 10494 11748 12816 13992 14151 15264 15664 17622 18656 18868 20988 23496 25632 27984 28302 31328 35244 37736 41976 42453 46992 51887 55968 56604 70488 75472 83952 84906 93984 103774 113208 140976 150944 155661 167904 169812 207548 226416 281952 311322 339624 415096 452832 466983 622644 679248 830192 933966 1245288 1358496 1660384 1867932 2490576 3735864 4981152 7471728 14943456