Search a number
-
+
13650540 = 22353141179
BaseRepresentation
bin110100000100…
…101001101100
3221200112000120
4310010221230
511443304130
61204324540
7224012331
oct64045154
927615016
1013650540
117783942
1246a3750
132a9c357
141b54988
1512e9910
hexd04a6c

13650540 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3417600.

The previous prime is 13650529. The next prime is 13650547. The reversal of 13650540 is 4505631.

It is a self number, because there is not a number n which added to its sum of digits gives 13650540.

It is not an unprimeable number, because it can be changed into a prime (13650547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76171 + ... + 76349.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 213650540 is an apocalyptic number.

13650540 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 13650540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13650540 is an abundant number, since it is smaller than the sum of its proper divisors (26992020).

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

13650540 is a wasteful number, since it uses less digits than its factorization.

13650540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13650540 is about 3694.6637194743. The cubic root of 13650540 is about 238.9919524843.

The spelling of 13650540 in words is "thirteen million, six hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 179 186 205 246 310 358 372 410 465 492 537 615 620 716 820 895 930 1074 1230 1271 1790 1860 2148 2460 2542 2685 3580 3813 5084 5370 5549 6355 7339 7626 10740 11098 12710 14678 15252 16647 19065 22017 22196 25420 27745 29356 33294 36695 38130 44034 55490 66588 73390 76260 83235 88068 110085 110980 146780 166470 220170 227509 332940 440340 455018 682527 910036 1137545 1365054 2275090 2730108 3412635 4550180 6825270 13650540