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14307072 = 283131433
BaseRepresentation
bin110110100100…
…111100000000
3222220212121120
4312210330000
512130311242
61230352240
7232415403
oct66447400
928825546
1014307072
11809212a
12495b680
132c6c130
141c85d3a
1513c91ec
hexda4f00

14307072 has 72 divisors (see below), whose sum is σ = 41035344. Its totient is φ = 4399104.

The previous prime is 14307071. The next prime is 14307079. The reversal of 14307072 is 27070341.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14307071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9268 + ... + 10700.

Almost surely, 214307072 is an apocalyptic number.

14307072 is a gapful number since it is divisible by the number (12) 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 14307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517672).

14307072 is an abundant number, since it is smaller than the sum of its proper divisors (26728272).

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

14307072 is a wasteful number, since it uses less digits than its factorization.

14307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 14307072 is about 3782.4690349030. The cubic root of 14307072 is about 242.7636103159.

The spelling of 14307072 in words is "fourteen million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1433 1664 2496 2866 3328 4299 4992 5732 8598 9984 11464 17196 18629 22928 34392 37258 45856 55887 68784 74516 91712 111774 137568 149032 183424 223548 275136 298064 366848 447096 550272 596128 894192 1100544 1192256 1788384 2384512 3576768 4769024 7153536 14307072