Search a number
-
+
13433148 = 2233294289
BaseRepresentation
bin110011001111…
…100100111100
3221021110211000
4303033210330
511414330043
61155530300
7222115461
oct63174474
927243730
1013433148
117645583
1245b9990
132a24411
141ad9668
1512a52d3
hexccf93c

13433148 has 48 divisors (see below), whose sum is σ = 36036000. Its totient is φ = 4322304.

The previous prime is 13433143. The next prime is 13433153. The reversal of 13433148 is 84133431.

13433148 is a `hidden beast` number, since 1 + 343 + 314 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13433143) and next prime (13433153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433141) 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, 988 + ... + 5276.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 213433148 is an apocalyptic number.

13433148 is a gapful number since it is divisible by the number (18) 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 13433148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018000).

13433148 is an abundant number, since it is smaller than the sum of its proper divisors (22602852).

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

13433148 is a wasteful number, since it uses less digits than its factorization.

13433148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4323 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13433148 is about 3665.1259187100. The cubic root of 13433148 is about 237.7164667251.

Adding to 13433148 its reverse (84133431), we get a palindrome (97566579).

The spelling of 13433148 in words is "thirteen million, four hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4289 8578 12867 17156 25734 38601 51468 77202 115803 124381 154404 231606 248762 373143 463212 497524 746286 1119429 1492572 2238858 3358287 4477716 6716574 13433148