Search a number
-
+
18802640 = 245613853
BaseRepresentation
bin100011110111…
…0011111010000
31022101021101002
41013232133100
514303141030
61511001132
7315551123
oct107563720
938337332
1018802640
11a68277a
1263691a8
133b8442c
1426d63ba
1519b6245
hex11ee7d0

18802640 has 40 divisors (see below), whose sum is σ = 44444328. Its totient is φ = 7395840.

The previous prime is 18802633. The next prime is 18802657. The reversal of 18802640 is 4620881.

It can be written as a sum of positive squares in 4 ways, for example, as 2383936 + 16418704 = 1544^2 + 4052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2954 + ... + 6806.

Almost surely, 218802640 is an apocalyptic number.

18802640 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 18802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222164).

18802640 is an abundant number, since it is smaller than the sum of its proper divisors (25641688).

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

18802640 is a wasteful number, since it uses less digits than its factorization.

18802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 18802640 is about 4336.2011023475. The cubic root of 18802640 is about 265.9130248744.

The spelling of 18802640 in words is "eighteen million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 3853 4880 7706 15412 19265 30824 38530 61648 77060 154120 235033 308240 470066 940132 1175165 1880264 2350330 3760528 4700660 9401320 18802640