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14077920 = 2535139211
BaseRepresentation
bin110101101100…
…111111100000
3222111020021110
4311230333200
512100443140
61221423320
7230442333
oct65547740
928436243
1014077920
117a45a4a
12486ab40
132bbba3c
141c2661a
151381380
hexd6cfe0

14077920 has 96 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 3709440.

The previous prime is 14077919. The next prime is 14077927. The reversal of 14077920 is 2977041.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14077927) 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, 66615 + ... + 66825.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 214077920 is an apocalyptic number.

14077920 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 14077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

14077920 is an abundant number, since it is smaller than the sum of its proper divisors (30798240).

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

14077920 is a wasteful number, since it uses less digits than its factorization.

14077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 14077920 is about 3752.0554366907. The cubic root of 14077920 is about 241.4605381985.

The spelling of 14077920 in words is "fourteen million, seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 211 240 278 417 422 480 556 633 695 834 844 1055 1112 1266 1390 1668 1688 2085 2110 2224 2532 2780 3165 3336 3376 4170 4220 4448 5064 5560 6330 6672 6752 8340 8440 10128 11120 12660 13344 16680 16880 20256 22240 25320 29329 33360 33760 50640 58658 66720 87987 101280 117316 146645 175974 234632 293290 351948 439935 469264 586580 703896 879870 938528 1173160 1407792 1759740 2346320 2815584 3519480 4692640 7038960 14077920