Search a number
-
+
13100040 = 2332536389
BaseRepresentation
bin110001111110…
…010000001000
3220122112212200
4301332100020
511323200130
61144440200
7216230352
oct61762010
926575780
1013100040
117438288
124479060
132938905
141a500d2
15123b760
hexc7e408

13100040 has 48 divisors (see below), whose sum is σ = 42576300. Its totient is φ = 3493248.

The previous prime is 13100039. The next prime is 13100051. The reversal of 13100040 is 4000131.

It can be written as a sum of positive squares in 2 ways, for example, as 12404484 + 695556 = 3522^2 + 834^2 .

It is a super-2 number, since 2×131000402 = 343222096003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13099995 and 13100031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17835 + ... + 18554.

Almost surely, 213100040 is an apocalyptic number.

13100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100040 is an abundant number, since it is smaller than the sum of its proper divisors (29476260).

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

13100040 is a wasteful number, since it uses less digits than its factorization.

13100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36406 (or 36399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13100040 is about 3619.3977399562. The cubic root of 13100040 is about 235.7350756948.

Adding to 13100040 its reverse (4000131), we get a palindrome (17100171).

Subtracting from 13100040 its reverse (4000131), we obtain a palindrome (9099909).

The spelling of 13100040 in words is "thirteen million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 36389 72778 109167 145556 181945 218334 291112 327501 363890 436668 545835 655002 727780 873336 1091670 1310004 1455560 1637505 2183340 2620008 3275010 4366680 6550020 13100040