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13873140 = 22335231117
BaseRepresentation
bin110100111010…
…111111110100
3222002211101000
4310322333310
512022420030
61213203300
7225630321
oct64727764
928084330
1013873140
117916106
124790530
132b49778
141bb1b48
151340860
hexd3aff4

13873140 has 96 divisors (see below), whose sum is σ = 45077760. Its totient is φ = 3535488.

The previous prime is 13873127. The next prime is 13873147. The reversal of 13873140 is 4137831.

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 (13873147) 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, 11862 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 213873140 is an apocalyptic number.

13873140 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 13873140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880).

13873140 is an abundant number, since it is smaller than the sum of its proper divisors (31204620).

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

13873140 is a wasteful number, since it uses less digits than its factorization.

13873140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13873140 is about 3724.6664280174. Note that the first 3 decimals coincide. The cubic root of 13873140 is about 240.2840387091.

The spelling of 13873140 in words is "thirteen million, eight hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1117 1242 1380 2070 2234 2484 3105 3351 4140 4468 5585 6210 6702 10053 11170 12420 13404 16755 20106 22340 25691 30159 33510 40212 50265 51382 60318 67020 77073 100530 102764 120636 128455 150795 154146 201060 231219 256910 301590 308292 385365 462438 513820 603180 693657 770730 924876 1156095 1387314 1541460 2312190 2774628 3468285 4624380 6936570 13873140