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14420736 = 283211569
BaseRepresentation
bin110111000000…
…101100000000
31000010122112100
4313000230000
512142430421
61233030400
7233400651
oct67005400
930118470
1014420736
11815a570
1249b5400
132cabaa5
141cb5528
1513ecc26
hexdc0b00

14420736 has 108 divisors (see below), whose sum is σ = 45438120. Its totient is φ = 4362240.

The previous prime is 14420719. The next prime is 14420779. The reversal of 14420736 is 63702441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25060 + ... + 25628.

Almost surely, 214420736 is an apocalyptic number.

14420736 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 14420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

14420736 is an abundant number, since it is smaller than the sum of its proper divisors (31017384).

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

14420736 is a wasteful number, since it uses less digits than its factorization.

14420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14420736 is about 3797.4644172131. The cubic root of 14420736 is about 243.4048020925.

It can be divided in two parts, 144 and 20736, that multiplied together give a 6-th power (2985984 = 126).

The spelling of 14420736 in words is "fourteen million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 569 576 704 768 792 1056 1138 1152 1408 1584 1707 2112 2276 2304 2816 3168 3414 4224 4552 5121 6259 6336 6828 8448 9104 10242 12518 12672 13656 18208 18777 20484 25036 25344 27312 36416 37554 40968 50072 54624 56331 72832 75108 81936 100144 109248 112662 145664 150216 163872 200288 218496 225324 300432 327744 400576 436992 450648 600864 655488 801152 901296 1201728 1310976 1602304 1802592 2403456 3605184 4806912 7210368 14420736