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13145148 = 22321747457
BaseRepresentation
bin110010001001…
…010000111100
3220201211202100
4302021100330
511331121043
61145425100
7216506022
oct62112074
926654670
1013145148
117469165
12449b190
1329532c3
141a62712
151249cd3
hexc8943c

13145148 has 72 divisors (see below), whose sum is σ = 36009792. Its totient is φ = 4027392.

The previous prime is 13145123. The next prime is 13145159. The reversal of 13145148 is 84154131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28536 + ... + 28992.

It is an arithmetic number, because the mean of its divisors is an integer number (500136).

Almost surely, 213145148 is an apocalyptic number.

13145148 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 13145148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896).

13145148 is an abundant number, since it is smaller than the sum of its proper divisors (22864644).

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

13145148 is a wasteful number, since it uses less digits than its factorization.

13145148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 13145148 is about 3625.6238083949. The cubic root of 13145148 is about 236.0053383835.

Adding to 13145148 its reverse (84154131), we get a palindrome (97299279).

It can be divided in two parts, 13 and 145148, that added together give a square (145161 = 3812).

The spelling of 13145148 in words is "thirteen million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 457 564 612 799 846 914 1371 1598 1692 1828 2397 2742 3196 4113 4794 5484 7191 7769 8226 9588 14382 15538 16452 21479 23307 28764 31076 42958 46614 64437 69921 85916 93228 128874 139842 193311 257748 279684 365143 386622 730286 773244 1095429 1460572 2190858 3286287 4381716 6572574 13145148