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13504995 = 335731461
BaseRepresentation
bin110011100001…
…000111100011
3221102010101000
4303201013203
511424124440
61201243043
7222535110
oct63410743
927363330
1013504995
117694559
124633483
132a4b02a
141b17907
1512bb730
hexce11e3

13504995 has 64 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 5961600.

The previous prime is 13504943. The next prime is 13504999. The reversal of 13504995 is 59940531.

13504995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13504995 - 28 = 13504739 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13504999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29065 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 213504995 is an apocalyptic number.

13504995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13504995 is an abundant number, since it is smaller than the sum of its proper divisors (14880285).

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

13504995 is a wasteful number, since it uses less digits than its factorization.

13504995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 13504995 is about 3674.9142847147. The cubic root of 13504995 is about 238.1395210935.

The spelling of 13504995 in words is "thirteen million, five hundred four thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 461 465 651 837 945 1085 1383 1395 1953 2305 3227 3255 4149 4185 5859 6915 9681 9765 12447 14291 16135 20745 29043 29295 42873 48405 62235 71455 87129 100037 128619 145215 214365 300111 385857 435645 500185 643095 900333 1500555 1929285 2700999 4501665 13504995