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14420560 = 2457112341
BaseRepresentation
bin110111000000…
…101001010000
31000010122021211
4313000221100
512142424220
61233025504
7233400310
oct67005120
930118254
1014420560
11815a420
1249b5294
132cab99b
141cb5440
1513ecb5a
hexdc0a50

14420560 has 80 divisors (see below), whose sum is σ = 41818752. Its totient is φ = 4492800.

The previous prime is 14420551. The next prime is 14420599. The reversal of 14420560 is 6502441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990 + ... + 7330.

Almost surely, 214420560 is an apocalyptic number.

14420560 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 14420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909376).

14420560 is an abundant number, since it is smaller than the sum of its proper divisors (27398192).

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

14420560 is a wasteful number, since it uses less digits than its factorization.

14420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 14420560 is about 3797.4412437851. The cubic root of 14420560 is about 243.4038118652.

The spelling of 14420560 in words is "fourteen million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2341 3080 4682 6160 9364 11705 16387 18728 23410 25751 32774 37456 46820 51502 65548 81935 93640 103004 128755 131096 163870 180257 187280 206008 257510 262192 327740 360514 412016 515020 655480 721028 901285 1030040 1310960 1442056 1802570 2060080 2884112 3605140 7210280 14420560