Search a number
-
+
61195780 = 22537412017
BaseRepresentation
bin1110100101110…
…0011000000100
311021011001211101
43221130120010
5111131231110
610023345444
71342104232
oct351343004
9137131741
1061195780
11315a8328
12185b2284
13c8a8329
1481ad952
15558c13a
hex3a5c604

61195780 has 48 divisors (see below), whose sum is σ = 135270576. Its totient is φ = 23224320.

The previous prime is 61195759. The next prime is 61195787. The reversal of 61195780 is 8759116.

It can be written as a sum of positive squares in 8 ways, for example, as 262144 + 60933636 = 512^2 + 7806^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (61195787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29332 + ... + 31348.

It is an arithmetic number, because the mean of its divisors is an integer number (2818137).

Almost surely, 261195780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61195780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67635288).

61195780 is an abundant number, since it is smaller than the sum of its proper divisors (74074796).

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

61195780 is a wasteful number, since it uses less digits than its factorization.

61195780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 61195780 is about 7822.7731655724. The cubic root of 61195780 is about 394.0704092262.

The spelling of 61195780 in words is "sixty-one million, one hundred ninety-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1517 2017 3034 4034 6068 7585 8068 10085 15170 20170 30340 40340 74629 82697 149258 165394 298516 330788 373145 413485 746290 826970 1492580 1653940 3059789 6119578 12239156 15298945 30597890 61195780