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13402004 = 2271153821
BaseRepresentation
bin110011000111…
…111110010100
3221012220002112
4303013332110
511412331004
61155130152
7221625620
oct63077624
927186075
1013402004
117624140
1245a3958
132a131a5
141acc180
15129ae6e
hexcc7f94

13402004 has 48 divisors (see below), whose sum is σ = 29828736. Its totient is φ = 5116800.

The previous prime is 13401989. The next prime is 13402007. The reversal of 13402004 is 40020431.

It is a super-2 number, since 2×134020042 = 359227422432032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 13402004.

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 15 ways as a sum of consecutive naturals, for example, 15914 + ... + 16734.

It is an arithmetic number, because the mean of its divisors is an integer number (621432).

Almost surely, 213402004 is an apocalyptic number.

13402004 is a gapful number since it is divisible by the number (14) 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 13402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914368).

13402004 is an abundant number, since it is smaller than the sum of its proper divisors (16426732).

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

13402004 is a wasteful number, since it uses less digits than its factorization.

13402004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13402004 is about 3660.8747588520. The cubic root of 13402004 is about 237.5326138038.

Adding to 13402004 its reverse (40020431), we get a palindrome (53422435).

The spelling of 13402004 in words is "thirteen million, four hundred two thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 821 1166 1484 1642 2332 3284 4081 5747 8162 9031 11494 16324 18062 22988 36124 43513 63217 87026 126434 174052 252868 304591 478643 609182 957286 1218364 1914572 3350501 6701002 13402004