Search a number
-
+
61700716 = 227111631229
BaseRepresentation
bin1110101101011…
…1101001101100
311022002201110201
43223113221230
5111243410331
610042243244
71346306320
oct353275154
9138081421
1061700716
1131912730
12187b6524
13ca240cc
1482a1980
15563ba61
hex3ad7a6c

61700716 has 48 divisors (see below), whose sum is σ = 135555840. Its totient is φ = 23872320.

The previous prime is 61700711. The next prime is 61700747.

61700716 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61700711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49590 + ... + 50818.

It is an arithmetic number, because the mean of its divisors is an integer number (2824080).

Almost surely, 261700716 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 61700716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67777920).

61700716 is an abundant number, since it is smaller than the sum of its proper divisors (73855124).

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

61700716 is a wasteful number, since it uses less digits than its factorization.

61700716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 61700716 is about 7854.9803309747. The cubic root of 61700716 is about 395.1512874526.

The spelling of 61700716 in words is "sixty-one million, seven hundred thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 163 308 326 652 1141 1229 1793 2282 2458 3586 4564 4916 7172 8603 12551 13519 17206 25102 27038 34412 50204 54076 94633 189266 200327 378532 400654 801308 1402289 2203597 2804578 4407194 5609156 8814388 15425179 30850358 61700716