Search a number
-
+
13552740 = 223251743103
BaseRepresentation
bin110011101100…
…110001100100
3221111112212100
4303230301210
511432141430
61202252100
7223124235
oct63546144
927445770
1013552740
117717413
124657030
132a66996
141b2b08c
1512ca960
hexcecc64

13552740 has 144 divisors (see below), whose sum is σ = 44972928. Its totient is φ = 3290112.

The previous prime is 13552739. The next prime is 13552751. The reversal of 13552740 is 4725531.

It is a happy number.

13552740 is a `hidden beast` number, since 135 + 527 + 4 + 0 = 666.

13552740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131529 + ... + 131631.

It is an arithmetic number, because the mean of its divisors is an integer number (312312).

Almost surely, 213552740 is an apocalyptic number.

13552740 is a gapful number since it is divisible by the number (10) 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 13552740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486464).

13552740 is an abundant number, since it is smaller than the sum of its proper divisors (31420188).

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

13552740 is a wasteful number, since it uses less digits than its factorization.

13552740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13552740 is about 3681.4046232383. The cubic root of 13552740 is about 238.4198272250.

It can be divided in two parts, 1355 and 2740, that added together give a triangular number (4095 = T90).

The spelling of 13552740 in words is "thirteen million, five hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 103 129 153 170 172 180 204 206 215 255 258 306 309 340 387 412 430 510 515 516 612 618 645 731 765 774 860 927 1020 1030 1236 1290 1462 1530 1545 1548 1751 1854 1935 2060 2193 2580 2924 3060 3090 3502 3655 3708 3870 4386 4429 4635 5253 6180 6579 7004 7310 7740 8755 8772 8858 9270 10506 10965 13158 13287 14620 15759 17510 17716 18540 21012 21930 22145 26265 26316 26574 31518 32895 35020 39861 43860 44290 52530 53148 63036 65790 66435 75293 78795 79722 88580 105060 131580 132870 150586 157590 159444 199305 225879 265740 301172 315180 376465 398610 451758 677637 752930 797220 903516 1129395 1355274 1505860 2258790 2710548 3388185 4517580 6776370 13552740