Search a number
-
+
61007568 = 2439713103
BaseRepresentation
bin1110100010111…
…0011011010000
311020210111122120
43220232123100
5111104220233
610015334240
71340361426
oct350563320
9136714576
1061007568
1131489986
1218521380
13c84076b
148161116
1555514b3
hex3a2e6d0

61007568 has 40 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 20124672.

The previous prime is 61007563. The next prime is 61007579. The reversal of 61007568 is 86570016.

61007568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61007563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1896 + ... + 11207.

Almost surely, 261007568 is an apocalyptic number.

It is an amenable number.

61007568 is an abundant number, since it is smaller than the sum of its proper divisors (98232240).

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

61007568 is a wasteful number, since it uses less digits than its factorization.

61007568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 61007568 is about 7810.7341524341. The cubic root of 61007568 is about 393.6659970964.

The spelling of 61007568 in words is "sixty-one million, seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 13103 26206 39309 52412 78618 104824 157236 209648 314472 628944 1270991 2541982 3812973 5083964 7625946 10167928 15251892 20335856 30503784 61007568