Search a number
-
+
14007552 = 283132361
BaseRepresentation
bin110101011011…
…110100000000
3222100122202020
4311123310000
512041220202
61220121440
7230030226
oct65336400
928318666
1014007552
1179a8099
124836280
132b959c0
141c08b16
15136a5bc
hexd5bd00

14007552 has 144 divisors (see below), whose sum is σ = 42580608. Its totient is φ = 4055040.

The previous prime is 14007547. The next prime is 14007559. The reversal of 14007552 is 25570041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229602 + ... + 229662.

Almost surely, 214007552 is an apocalyptic number.

14007552 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 14007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290304).

14007552 is an abundant number, since it is smaller than the sum of its proper divisors (28573056).

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

14007552 is a wasteful number, since it uses less digits than its factorization.

14007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 14007552 is about 3742.6664291652. Note that the first 3 decimals coincide. The cubic root of 14007552 is about 241.0575552808.

Adding to 14007552 its reverse (25570041), we get a palindrome (39577593).

The spelling of 14007552 in words is "fourteen million, seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 61 64 69 78 92 96 104 122 128 138 156 183 184 192 208 244 256 276 299 312 366 368 384 416 488 552 598 624 732 736 768 793 832 897 976 1104 1196 1248 1403 1464 1472 1586 1664 1794 1952 2208 2379 2392 2496 2806 2928 2944 3172 3328 3588 3904 4209 4416 4758 4784 4992 5612 5856 5888 6344 7176 7808 8418 8832 9516 9568 9984 11224 11712 12688 14352 15616 16836 17664 18239 19032 19136 22448 23424 25376 28704 33672 36478 38064 38272 44896 46848 50752 54717 57408 67344 72956 76128 76544 89792 101504 109434 114816 134688 145912 152256 179584 203008 218868 229632 269376 291824 304512 359168 437736 538752 583648 609024 875472 1077504 1167296 1750944 2334592 3501888 4669184 7003776 14007552