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13538190 = 235593761
BaseRepresentation
bin110011101001…
…001110001110
3221110210220110
4303221032032
511431210230
61202100450
7223033641
oct63511616
927423813
1013538190
117707496
12464a726
132a60183
141b25a58
1512c64b0
hexce938e

13538190 has 32 divisors (see below), whose sum is σ = 32589216. Its totient is φ = 3599360.

The previous prime is 13538179. The next prime is 13538197. The reversal of 13538190 is 9183531.

It is a happy number.

It is a super-2 number, since 2×135381902 = 366565176952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17410 + ... + 18170.

It is an arithmetic number, because the mean of its divisors is an integer number (1018413).

Almost surely, 213538190 is an apocalyptic number.

13538190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13538190 is an abundant number, since it is smaller than the sum of its proper divisors (19051026).

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

13538190 is a wasteful number, since it uses less digits than its factorization.

13538190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 13538190 is about 3679.4279446675. The cubic root of 13538190 is about 238.3344754647.

It can be divided in two parts, 13 and 538190, that added together give a triangular number (538203 = T1037).

The spelling of 13538190 in words is "thirteen million, five hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 593 761 1186 1522 1779 2283 2965 3558 3805 4566 5930 7610 8895 11415 17790 22830 451273 902546 1353819 2256365 2707638 4512730 6769095 13538190