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13461714 = 23671319
BaseRepresentation
bin110011010110…
…100011010010
3221022221000000
4303112203102
511421233324
61200310430
7222264660
oct63264322
927287000
1013461714
117664a92
124612416
132a34416
141b05c30
1512ad9c9
hexcd68d2

13461714 has 56 divisors (see below), whose sum is σ = 34626240. Its totient is φ = 3843288.

The previous prime is 13461697. The next prime is 13461727. The reversal of 13461714 is 41716431.

It is a happy number.

13461714 is a `hidden beast` number, since 1 + 34 + 617 + 14 = 666.

13461714 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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9547 + ... + 10865.

Almost surely, 213461714 is an apocalyptic number.

13461714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313120).

13461714 is an abundant number, since it is smaller than the sum of its proper divisors (21164526).

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

13461714 is an equidigital number, since it uses as much as digits as its factorization.

13461714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13461714 is about 3669.0208503087. The cubic root of 13461714 is about 237.8848512018.

The spelling of 13461714 in words is "thirteen million, four hundred sixty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1319 1458 1701 2638 3402 3957 5103 7914 9233 10206 11871 18466 23742 27699 35613 55398 71226 83097 106839 166194 213678 249291 320517 498582 641034 747873 961551 1495746 1923102 2243619 4487238 6730857 13461714