Search a number
-
+
13873530 = 23511172473
BaseRepresentation
bin110100111011…
…000101111010
3222002211220110
4310323011322
512022423110
61213205150
7225631416
oct64730572
928084813
1013873530
117916430
1247907b6
132b499b8
141bb1d46
151340a20
hexd3b17a

13873530 has 64 divisors (see below), whose sum is σ = 38475648. Its totient is φ = 3164160.

The previous prime is 13873511. The next prime is 13873537. The reversal of 13873530 is 3537831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13873537) 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, 4374 + ... + 6846.

It is an arithmetic number, because the mean of its divisors is an integer number (601182).

Almost surely, 213873530 is an apocalyptic number.

13873530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237824).

13873530 is an abundant number, since it is smaller than the sum of its proper divisors (24602118).

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

13873530 is a wasteful number, since it uses less digits than its factorization.

13873530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13873530 is about 3724.7187813310. The cubic root of 13873530 is about 240.2862902998.

The spelling of 13873530 in words is "thirteen million, eight hundred seventy-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2473 2805 4946 5610 7419 12365 14838 24730 27203 37095 42041 54406 74190 81609 84082 126123 136015 163218 210205 252246 272030 408045 420410 462451 630615 816090 924902 1261230 1387353 2312255 2774706 4624510 6936765 13873530