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14391468 = 223271323191
BaseRepresentation
bin110110111001…
…100010101100
31000002011101100
4312321202230
512141011333
61232243100
7233216430
oct66714254
930064340
1014391468
11813a583
1249a0490
132c9b680
141ca89c0
1513e4213
hexdb98ac

14391468 has 144 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 3611520.

The previous prime is 14391449. The next prime is 14391473. The reversal of 14391468 is 86419341.

It is a super-2 number, since 2×143914682 = 414228702390048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75253 + ... + 75443.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 214391468 is an apocalyptic number.

14391468 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 14391468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

14391468 is an abundant number, since it is smaller than the sum of its proper divisors (32573268).

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

14391468 is a wasteful number, since it uses less digits than its factorization.

14391468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14391468 is about 3793.6088359239. The cubic root of 14391468 is about 243.2400209343.

The spelling of 14391468 in words is "fourteen million, three hundred ninety-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 191 207 234 252 273 276 299 322 364 382 414 468 483 546 573 598 644 764 819 828 897 966 1092 1146 1196 1337 1449 1638 1719 1794 1932 2093 2292 2483 2674 2691 2898 3276 3438 3588 4011 4186 4393 4966 5348 5382 5796 6279 6876 7449 8022 8372 8786 9932 10764 12033 12558 13179 14898 16044 17381 17572 18837 22347 24066 25116 26358 29796 30751 34762 37674 39537 44694 48132 52143 52716 57109 61502 69524 75348 79074 89388 92253 104286 114218 123004 156429 158148 171327 184506 208572 228436 276759 312858 342654 369012 399763 513981 553518 625716 685308 799526 1027962 1107036 1199289 1599052 2055924 2398578 3597867 4797156 7195734 14391468