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13325004 = 223271121923
BaseRepresentation
bin110010110101…
…001011001100
3221001222110200
4302311023030
511402400004
61153333500
7221155260
oct62651314
927058420
1013325004
117581300
124567290
1329b7124
141aac0a0
151283239
hexcb52cc

13325004 has 216 divisors, whose sum is σ = 46475520. Its totient is φ = 3136320.

The previous prime is 13324999. The next prime is 13325021. The reversal of 13325004 is 40052331.

13325004 is digitally balanced in base 2, because in such base 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579337 + ... + 579359.

Almost surely, 213325004 is an apocalyptic number.

13325004 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 13325004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

13325004 is an abundant number, since it is smaller than the sum of its proper divisors (33150516).

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

13325004 is a wasteful number, since it uses less digits than its factorization.

13325004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13325004 is about 3650.3429975826. The cubic root of 13325004 is about 237.0768324304.

Adding to 13325004 its reverse (40052331), we get a palindrome (53377335).

It can be divided in two parts, 1332 and 5004, that added together give a palindrome (6336).

The spelling of 13325004 in words is "thirteen million, three hundred twenty-five thousand, four".