Search a number
-
+
61688718 = 23271322897
BaseRepresentation
bin1110101101010…
…0101110001110
311022002010000100
43223110232032
5111243014333
610042111530
71346226330
oct353245616
9138063010
1061688718
1131904713
12187ab5a6
13ca1b800
14829b450
155638213
hex3ad4b8e

61688718 has 72 divisors (see below), whose sum is σ = 165464208. Its totient is φ = 16263936.

The previous prime is 61688717. The next prime is 61688743. The reversal of 61688718 is 81788616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61688717) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19846 + ... + 22742.

It is an arithmetic number, because the mean of its divisors is an integer number (2298114).

Almost surely, 261688718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61688718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82732104).

61688718 is an abundant number, since it is smaller than the sum of its proper divisors (103775490).

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

61688718 is a wasteful number, since it uses less digits than its factorization.

61688718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2922 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 61688718 is about 7854.2165745541. The cubic root of 61688718 is about 395.1256727716.

The spelling of 61688718 in words is "sixty-one million, six hundred eighty-eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 2897 3042 3549 5794 7098 8691 10647 17382 20279 21294 26073 37661 40558 52146 60837 75322 112983 121674 182511 225966 263627 338949 365022 489593 527254 677898 790881 979186 1468779 1581762 2372643 2937558 3427151 4406337 4745286 6854302 8812674 10281453 20562906 30844359 61688718