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14278920 = 2335257463
BaseRepresentation
bin110110011110…
…000100001000
3222212102222220
4312132010020
512123411140
61230014040
7232240335
oct66360410
928772886
1014278920
118072a67
124947320
132c5c386
141c7998c
1513c0bd0
hexd9e108

14278920 has 64 divisors (see below), whose sum is σ = 43096320. Its totient is φ = 3784704.

The previous prime is 14278919. The next prime is 14278921. The reversal of 14278920 is 2987241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14278919) and next prime (14278921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14278921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30609 + ... + 31071.

It is an arithmetic number, because the mean of its divisors is an integer number (673380).

Almost surely, 214278920 is an apocalyptic number.

14278920 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 14278920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548160).

14278920 is an abundant number, since it is smaller than the sum of its proper divisors (28817400).

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

14278920 is a wasteful number, since it uses less digits than its factorization.

14278920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14278920 is about 3778.7458236828. The cubic root of 14278920 is about 242.6042772563.

The spelling of 14278920 in words is "fourteen million, two hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 463 514 771 926 1028 1285 1389 1542 1852 2056 2315 2570 2778 3084 3704 3855 4630 5140 5556 6168 6945 7710 9260 10280 11112 13890 15420 18520 27780 30840 55560 118991 237982 356973 475964 594955 713946 951928 1189910 1427892 1784865 2379820 2855784 3569730 4759640 7139460 14278920