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13402008 = 2332238093
BaseRepresentation
bin110011000111…
…111110011000
3221012220002200
4303013332120
511412331013
61155130200
7221625624
oct63077630
927186080
1013402008
117624144
1245a3960
132a131a9
141acc184
15129ae73
hexcc7f98

13402008 has 48 divisors (see below), whose sum is σ = 37879920. Its totient is φ = 4272576.

The previous prime is 13402007. The next prime is 13402009. The reversal of 13402008 is 80020431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13402007) and next prime (13402009).

It is a super-2 number, since 2×134020082 = 359227636864128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (789165).

Almost surely, 213402008 is an apocalyptic number.

13402008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13402008 is an abundant number, since it is smaller than the sum of its proper divisors (24477912).

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

13402008 is a wasteful number, since it uses less digits than its factorization.

13402008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13402008 is about 3660.8753051695. The cubic root of 13402008 is about 237.5326374353.

Adding to 13402008 its reverse (80020431), we get a palindrome (93422439).

The spelling of 13402008 in words is "thirteen million, four hundred two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 8093 16186 24279 32372 48558 64744 72837 97116 145674 186139 194232 291348 372278 558417 582696 744556 1116834 1489112 1675251 2233668 3350502 4467336 6701004 13402008