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13388004 = 223475903
BaseRepresentation
bin110011000100…
…100011100100
3221012011220000
4303010203210
511411404004
61154541300
7221540040
oct63044344
927164800
1013388004
117614673
124597830
132a099c6
141ac7020
151296c39
hexcc48e4

13388004 has 60 divisors (see below), whose sum is σ = 40005504. Its totient is φ = 3824496.

The previous prime is 13387991. The next prime is 13388009. The reversal of 13388004 is 40088331.

It is a super-3 number, since 3×133880043 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13388009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 684 + ... + 5219.

Almost surely, 213388004 is an apocalyptic number.

13388004 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 13388004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002752).

13388004 is an abundant number, since it is smaller than the sum of its proper divisors (26617500).

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

13388004 is a wasteful number, since it uses less digits than its factorization.

13388004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13388004 is about 3658.9621479321. The cubic root of 13388004 is about 237.4498745554.

The spelling of 13388004 in words is "thirteen million, three hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5903 11806 17709 23612 35418 41321 53127 70836 82642 106254 123963 159381 165284 212508 247926 318762 371889 478143 495852 637524 743778 956286 1115667 1487556 1912572 2231334 3347001 4462668 6694002 13388004