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14146960 = 245181977
BaseRepresentation
bin110101111101…
…110110010000
3222121201222111
4311331312100
512110200320
61223115104
7231150532
oct65756620
928551874
1014146960
117a92903
1248a2a94
132c142a9
141c43852
151396a5a
hexd7dd90

14146960 has 40 divisors (see below), whose sum is σ = 33107256. Its totient is φ = 5621760.

The previous prime is 14146931. The next prime is 14146967. The reversal of 14146960 is 6964141.

It can be written as a sum of positive squares in 4 ways, for example, as 839056 + 13307904 = 916^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14146967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13992 + ... + 14968.

Almost surely, 214146960 is an apocalyptic number.

14146960 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 14146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553628).

14146960 is an abundant number, since it is smaller than the sum of its proper divisors (18960296).

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

14146960 is a wasteful number, since it uses less digits than its factorization.

14146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 14146960 is about 3761.2444749045. The cubic root of 14146960 is about 241.8546129438.

The spelling of 14146960 in words is "fourteen million, one hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 977 1448 1810 1954 2896 3620 3908 4885 7240 7816 9770 14480 15632 19540 39080 78160 176837 353674 707348 884185 1414696 1768370 2829392 3536740 7073480 14146960