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13358120 = 235536301
BaseRepresentation
bin110010111101…
…010000101000
3221010122220012
4302331100220
511404424440
61154151052
7221353646
oct62752050
927118805
1013358120
1175a4176
124582488
1329c9219
141aba196
15128ce65
hexcbd428

13358120 has 32 divisors (see below), whose sum is σ = 30627720. Its totient is φ = 5241600.

The previous prime is 13358119. The next prime is 13358129. The reversal of 13358120 is 2185331.

It can be written as a sum of positive squares in 4 ways, for example, as 12264004 + 1094116 = 3502^2 + 1046^2 .

It is not an unprimeable number, because it can be changed into a prime (13358129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031 + ... + 5270.

Almost surely, 213358120 is an apocalyptic number.

13358120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13358120 is an abundant number, since it is smaller than the sum of its proper divisors (17269600).

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

13358120 is a wasteful number, since it uses less digits than its factorization.

13358120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13358120 is about 3654.8761948936. The cubic root of 13358120 is about 237.2730685544.

The spelling of 13358120 in words is "thirteen million, three hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 6301 12602 25204 31505 50408 63010 126020 252040 333953 667906 1335812 1669765 2671624 3339530 6679060 13358120