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13413150 = 2325241727
BaseRepresentation
bin110011001010…
…101100011110
3221020110101100
4303022230132
511413210100
61155253530
7222003252
oct63125436
927213340
1013413150
117631553
1245aa2a6
132a1829a
141ad2262
15129e400
hexccab1e

13413150 has 72 divisors (see below), whose sum is σ = 36966384. Its totient is φ = 3484800.

The previous prime is 13413143. The next prime is 13413157. The reversal of 13413150 is 5131431.

It is an interprime number because it is at equal distance from previous prime (13413143) and next prime (13413157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413157) 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 35 ways as a sum of consecutive naturals, for example, 18087 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (513422).

Almost surely, 213413150 is an apocalyptic number.

13413150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483192).

13413150 is an abundant number, since it is smaller than the sum of its proper divisors (23553234).

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

13413150 is a wasteful number, since it uses less digits than its factorization.

13413150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13413150 is about 3662.3967562240. The cubic root of 13413150 is about 237.5984448764.

Adding to 13413150 its reverse (5131431), we get a palindrome (18544581).

The spelling of 13413150 in words is "thirteen million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 727 738 1025 1230 1454 1845 2050 2181 3075 3635 3690 4362 6150 6543 7270 9225 10905 13086 18175 18450 21810 29807 32715 36350 54525 59614 65430 89421 109050 149035 163575 178842 268263 298070 327150 447105 536526 745175 894210 1341315 1490350 2235525 2682630 4471050 6706575 13413150