Search a number
-
+
13727534140 = 22543127125687
BaseRepresentation
bin11001100100011100…
…11000110000111100
31022102200202222200101
430302032120300330
5211103222043030
610150100410444
7664116054265
oct146216306074
938380688611
1013727534140
115904920641
1227b13a6a24
1313aa031888
1494322d96c
155552627ca
hex332398c3c

13727534140 has 48 divisors (see below), whose sum is σ = 29730742272. Its totient is φ = 5321042496.

The previous prime is 13727534137. The next prime is 13727534179. The reversal of 13727534140 is 4143572731.

It is a self number, because there is not a number n which added to its sum of digits gives 13727534140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46377 + ... + 172063.

It is an arithmetic number, because the mean of its divisors is an integer number (619390464).

Almost surely, 213727534140 is an apocalyptic number.

13727534140 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 13727534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865371136).

13727534140 is an abundant number, since it is smaller than the sum of its proper divisors (16003208132).

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

13727534140 is a wasteful number, since it uses less digits than its factorization.

13727534140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125866 (or 125864 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 13727534140 in words is "thirteen billion, seven hundred twenty-seven million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2540 5461 10922 21844 27305 54610 109220 125687 251374 502748 628435 1256870 2513740 5404541 10809082 15962249 21618164 27022705 31924498 54045410 63848996 79811245 108090820 159622490 319244980 686376707 1372753414 2745506828 3431883535 6863767070 13727534140