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14012400 = 2435211677
BaseRepresentation
bin110101011100…
…111111110000
3222100220101210
4311130333300
512041344100
61220200120
7230050323
oct65347760
928326353
1014012400
117a007a6
124839040
132b97c7c
141c0a7ba
15136bc50
hexd5cff0

14012400 has 60 divisors (see below), whose sum is σ = 44890232. Its totient is φ = 3736320.

The previous prime is 14012393. The next prime is 14012417. The reversal of 14012400 is 421041.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4639 + ... + 7038.

Almost surely, 214012400 is an apocalyptic number.

14012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012400 is an abundant number, since it is smaller than the sum of its proper divisors (30877832).

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

14012400 is a wasteful number, since it uses less digits than its factorization.

14012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11698 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14012400 is about 3743.3140397247. The cubic root of 14012400 is about 241.0853620009.

Adding to 14012400 its reverse (421041), we get a palindrome (14433441).

The spelling of 14012400 in words is "fourteen million, twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11677 23354 35031 46708 58385 70062 93416 116770 140124 175155 186832 233540 280248 291925 350310 467080 560496 583850 700620 875775 934160 1167700 1401240 1751550 2335400 2802480 3503100 4670800 7006200 14012400