Search a number
-
+
61235640 = 23325170099
BaseRepresentation
bin1110100110011…
…0000110111000
311021020002111200
43221212012320
5111134020030
610024254200
71342331364
oct351460670
9137202450
1061235640
1131625274
1218611360
13c8c050b
1481c02a4
155598d60
hex3a661b8

61235640 has 48 divisors (see below), whose sum is σ = 199017000. Its totient is φ = 16329408.

The previous prime is 61235623. The next prime is 61235659. The reversal of 61235640 is 4653216.

61235640 is a `hidden beast` number, since 6 + 12 + 3 + 5 + 640 = 666.

61235640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84690 + ... + 85409.

Almost surely, 261235640 is an apocalyptic number.

61235640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61235640 is an abundant number, since it is smaller than the sum of its proper divisors (137781360).

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

61235640 is a wasteful number, since it uses less digits than its factorization.

61235640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170116 (or 170109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61235640 is about 7825.3204407232. The cubic root of 61235640 is about 394.1559501864.

Adding to 61235640 its reverse (4653216), we get a palindrome (65888856).

The spelling of 61235640 in words is "sixty-one million, two hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 170099 340198 510297 680396 850495 1020594 1360792 1530891 1700990 2041188 2551485 3061782 3401980 4082376 5102970 6123564 6803960 7654455 10205940 12247128 15308910 20411880 30617820 61235640