Search a number
-
+
14059008 = 2935113
BaseRepresentation
bin110101101000…
…011000000000
3222110021100000
4311220120000
512044342013
61221200000
7230333235
oct65503000
928407300
1014059008
117a32817
124860000
132bb3252
141c1d78c
15137a973
hexd68600

14059008 has 120 divisors (see below), whose sum is σ = 42450408. Its totient is φ = 4644864.

The previous prime is 14059007. The next prime is 14059009. The reversal of 14059008 is 80095041.

It is an interprime number because it is at equal distance from previous prime (14059007) and next prime (14059009).

It is a super-3 number, since 3×140590083 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14059007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124360 + ... + 124472.

Almost surely, 214059008 is an apocalyptic number.

14059008 is a gapful number since it is divisible by the number (18) 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 14059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204).

14059008 is an abundant number, since it is smaller than the sum of its proper divisors (28391400).

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

14059008 is an frugal number, since it uses more digits than its factorization.

14059008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 14059008 is about 3749.5343710920. The cubic root of 14059008 is about 241.3523653038.

The spelling of 14059008 in words is "fourteen million, fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 243 256 288 324 339 384 432 452 486 512 576 648 678 768 864 904 972 1017 1152 1296 1356 1536 1728 1808 1944 2034 2304 2592 2712 3051 3456 3616 3888 4068 4608 5184 5424 6102 6912 7232 7776 8136 9153 10368 10848 12204 13824 14464 15552 16272 18306 20736 21696 24408 27459 28928 31104 32544 36612 41472 43392 48816 54918 57856 62208 65088 73224 86784 97632 109836 124416 130176 146448 173568 195264 219672 260352 292896 390528 439344 520704 585792 781056 878688 1171584 1562112 1757376 2343168 3514752 4686336 7029504 14059008