Search a number
-
+
61016256 = 2632737409
BaseRepresentation
bin1110100011000…
…0100011000000
311020210221120100
43220300203000
5111110010011
610015442400
71340425650
oct350604300
9136727510
1061016256
1131495464
1218526400
13c8446c2
148164360
155553d56
hex3a308c0

61016256 has 168 divisors, whose sum is σ = 205780640. Its totient is φ = 16920576.

The previous prime is 61016243. The next prime is 61016257. The reversal of 61016256 is 65261016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (61016257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148980 + ... + 149388.

Almost surely, 261016256 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 61016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102890320).

61016256 is an abundant number, since it is smaller than the sum of its proper divisors (144764384).

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

61016256 is a wasteful number, since it uses less digits than its factorization.

61016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61016256 is about 7811.2902903426. The cubic root of 61016256 is about 393.6846833455.

The spelling of 61016256 in words is "sixty-one million, sixteen thousand, two hundred fifty-six".