Search a number
-
+
14000544 = 2532173281
BaseRepresentation
bin110101011010…
…000110100000
3222100022010200
4311122012200
512041004134
61220025200
7230000625
oct65320640
928308120
1014000544
1179a28a8
124832200
132b9275c
141c0634c
151368499
hexd5a1a0

14000544 has 72 divisors (see below), whose sum is σ = 40186692. Its totient is φ = 4623360.

The previous prime is 14000527. The next prime is 14000551. The reversal of 14000544 is 44500041.

It can be written as a sum of positive squares in 2 ways, for example, as 12531600 + 1468944 = 3540^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 49684 + ... + 49964.

Almost surely, 214000544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093346).

14000544 is an abundant number, since it is smaller than the sum of its proper divisors (26186148).

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

14000544 is a wasteful number, since it uses less digits than its factorization.

14000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14000544 is about 3741.7300811256. The cubic root of 14000544 is about 241.0173480852.

Adding to 14000544 its reverse (44500041), we get a palindrome (58500585).

The spelling of 14000544 in words is "fourteen million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 281 288 346 519 562 692 843 1038 1124 1384 1557 1686 2076 2248 2529 2768 3114 3372 4152 4496 5058 5536 6228 6744 8304 8992 10116 12456 13488 16608 20232 24912 26976 40464 48613 49824 80928 97226 145839 194452 291678 388904 437517 583356 777808 875034 1166712 1555616 1750068 2333424 3500136 4666848 7000272 14000544