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14212896 = 2532341157
BaseRepresentation
bin110110001101…
…111100100000
3222202002102120
4312031330200
512114303041
61224344240
7231544005
oct66157440
928662376
1014212896
1180283a5
124915080
132c382c9
141c5d8ac
1513ab366
hexd8df20

14212896 has 96 divisors (see below), whose sum is σ = 40134528. Its totient is φ = 4392960.

The previous prime is 14212853. The next prime is 14212903. The reversal of 14212896 is 69821241.

14212896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90450 + ... + 90606.

It is an arithmetic number, because the mean of its divisors is an integer number (418068).

Almost surely, 214212896 is an apocalyptic number.

14212896 is a gapful number since it is divisible by the number (16) 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 14212896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067264).

14212896 is an abundant number, since it is smaller than the sum of its proper divisors (25921632).

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

14212896 is a wasteful number, since it uses less digits than its factorization.

14212896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 14212896 is about 3769.9994694960. Note that the first 3 decimals coincide. The cubic root of 14212896 is about 242.2297751606.

The spelling of 14212896 in words is "fourteen million, two hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 157 164 184 246 276 314 328 368 471 492 552 628 656 736 942 943 984 1104 1256 1312 1884 1886 1968 2208 2512 2829 3611 3768 3772 3936 5024 5658 6437 7222 7536 7544 10833 11316 12874 14444 15072 15088 19311 21666 22632 25748 28888 30176 38622 43332 45264 51496 57776 77244 86664 90528 102992 115552 148051 154488 173328 205984 296102 308976 346656 444153 592204 617952 888306 1184408 1776612 2368816 3553224 4737632 7106448 14212896