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14125680 = 2432523853
BaseRepresentation
bin110101111000…
…101001110000
3222120122210100
4311320221300
512104010210
61222432400
7231031512
oct65705160
928518710
1014125680
117a78918
124892700
132c076ba
141c39bb2
1513905c0
hexd78a70

14125680 has 120 divisors (see below), whose sum is σ = 49559328. Its totient is φ = 3598848.

The previous prime is 14125679. The next prime is 14125681. The reversal of 14125680 is 8652141.

14125680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14125679) and next prime (14125681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16134 + ... + 16986.

Almost surely, 214125680 is an apocalyptic number.

14125680 is a gapful number since it is divisible by the number (10) 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 14125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779664).

14125680 is an abundant number, since it is smaller than the sum of its proper divisors (35433648).

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

14125680 is a wasteful number, since it uses less digits than its factorization.

14125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14125680 is about 3758.4145593588. The cubic root of 14125680 is about 241.7332853729.

The spelling of 14125680 in words is "fourteen million, one hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 853 920 1035 1104 1380 1656 1706 1840 2070 2559 2760 3312 3412 4140 4265 5118 5520 6824 7677 8280 8530 10236 12795 13648 15354 16560 17060 19619 20472 25590 30708 34120 38385 39238 40944 51180 58857 61416 68240 76770 78476 98095 102360 117714 122832 153540 156952 176571 196190 204720 235428 294285 307080 313904 353142 392380 470856 588570 614160 706284 784760 882855 941712 1177140 1412568 1569520 1765710 2354280 2825136 3531420 4708560 7062840 14125680