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13238040 = 23351071031
BaseRepresentation
bin110010011111…
…111100011000
3220220120011210
4302133330120
511342104130
61151423120
7220343604
oct62377430
926816153
1013238040
117521a32
124524aa0
13298667a
141a88504
1512675b0
hexc9ff18

13238040 has 64 divisors (see below), whose sum is σ = 40124160. Its totient is φ = 3493760.

The previous prime is 13238011. The next prime is 13238047. The reversal of 13238040 is 4083231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13237998 and 13238016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238047) 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, 12325 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (626940).

Almost surely, 213238040 is an apocalyptic number.

13238040 is a gapful number since it is divisible by the number (10) 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 13238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062080).

13238040 is an abundant number, since it is smaller than the sum of its proper divisors (26886120).

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

13238040 is a wasteful number, since it uses less digits than its factorization.

13238040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13238040 is about 3638.4117414059. The cubic root of 13238040 is about 236.5599554186.

The spelling of 13238040 in words is "thirteen million, two hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1031 1070 1284 1605 2062 2140 2568 3093 3210 4124 4280 5155 6186 6420 8248 10310 12372 12840 15465 20620 24744 30930 41240 61860 110317 123720 220634 330951 441268 551585 661902 882536 1103170 1323804 1654755 2206340 2647608 3309510 4412680 6619020 13238040