Search a number
-
+
61136390 = 25759113131
BaseRepresentation
bin1110100100110…
…1111000000110
311021001001100202
43221031320012
5111122331030
610022210502
71341436130
oct351157006
9137031322
1061136390
1131567747
1218583a32
13c8872a3
148196050
155579745
hex3a4de06

61136390 has 64 divisors (see below), whose sum is σ = 130014720. Its totient is φ = 20267520.

The previous prime is 61136381. The next prime is 61136419. The reversal of 61136390 is 9363116.

61136390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 466625 + ... + 466755.

It is an arithmetic number, because the mean of its divisors is an integer number (2031480).

Almost surely, 261136390 is an apocalyptic number.

61136390 is an abundant number, since it is smaller than the sum of its proper divisors (68878330).

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

61136390 is a wasteful number, since it uses less digits than its factorization.

61136390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 61136390 is about 7818.9762757026. The cubic root of 61136390 is about 393.9428872698.

The spelling of 61136390 in words is "sixty-one million, one hundred thirty-six thousand, three hundred ninety".

Divisors: 1 2 5 7 10 14 35 59 70 113 118 131 226 262 295 413 565 590 655 791 826 917 1130 1310 1582 1834 2065 3955 4130 4585 6667 7729 7910 9170 13334 14803 15458 29606 33335 38645 46669 54103 66670 74015 77290 93338 103621 108206 148030 207242 233345 270515 466690 518105 541030 873377 1036210 1746754 4366885 6113639 8733770 12227278 30568195 61136390