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14061312 = 283217359
BaseRepresentation
bin110101101000…
…111100000000
3222110101111100
4311220330000
512044430222
61221214400
7230343036
oct65507400
928411440
1014061312
117a34521
124861400
132bb4305
141c20556
15137b4ac
hexd68f00

14061312 has 108 divisors (see below), whose sum is σ = 43046640. Its totient is φ = 4399104.

The previous prime is 14061283. The next prime is 14061323. The reversal of 14061312 is 21316041.

It is a happy number.

14061312 is a `hidden beast` number, since 1 + 40 + 613 + 12 = 666.

It is a super-2 number, since 2×140613122 = 395440990322688, which contains 22 as substring.

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

It is a congruent number.

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, 38989 + ... + 39347.

It is an arithmetic number, because the mean of its divisors is an integer number (398580).

Almost surely, 214061312 is an apocalyptic number.

14061312 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 14061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523320).

14061312 is an abundant number, since it is smaller than the sum of its proper divisors (28985328).

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

14061312 is a wasteful number, since it uses less digits than its factorization.

14061312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14061312 is about 3749.8415966545. The cubic root of 14061312 is about 241.3655489147.

Adding to 14061312 its reverse (21316041), we get a palindrome (35377353).

It can be divided in two parts, 140613 and 12, that added together give a square (140625 = 3752).

The spelling of 14061312 in words is "fourteen million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 359 384 408 544 576 612 718 768 816 1077 1088 1152 1224 1436 1632 2154 2176 2304 2448 2872 3231 3264 4308 4352 4896 5744 6103 6462 6528 8616 9792 11488 12206 12924 13056 17232 18309 19584 22976 24412 25848 34464 36618 39168 45952 48824 51696 54927 68928 73236 91904 97648 103392 109854 137856 146472 195296 206784 219708 275712 292944 390592 413568 439416 585888 781184 827136 878832 1171776 1562368 1757664 2343552 3515328 4687104 7030656 14061312