Search a number
-
+
13401768 = 233471092
BaseRepresentation
bin110011000111…
…111010101000
3221012212202210
4303013322220
511412324033
61155125120
7221625132
oct63077250
927185683
1013401768
117623a46
1245a37a0
132a13053
141acc052
15129ad63
hexcc7ea8

13401768 has 48 divisors (see below), whose sum is σ = 34534080. Its totient is φ = 4332096.

The previous prime is 13401757. The next prime is 13401781. The reversal of 13401768 is 86710431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122898 + ... + 123006.

It is an arithmetic number, because the mean of its divisors is an integer number (719460).

Almost surely, 213401768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267040).

13401768 is an abundant number, since it is smaller than the sum of its proper divisors (21132312).

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

13401768 is a wasteful number, since it uses less digits than its factorization.

13401768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13401768 is about 3660.8425259768. The cubic root of 13401768 is about 237.5312195340.

The spelling of 13401768 in words is "thirteen million, four hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 109 141 188 218 282 327 376 436 564 654 872 1128 1308 2616 5123 10246 11881 15369 20492 23762 30738 35643 40984 47524 61476 71286 95048 122952 142572 285144 558407 1116814 1675221 2233628 3350442 4467256 6700884 13401768