Search a number
-
+
61138998 = 23219533373
BaseRepresentation
bin1110100100111…
…0100000110110
311021001011221100
43221032200312
5111122421443
610022230530
71341446544
oct351164066
9137034840
1061138998
11315696a8
1218585446
13c88852b
148196d94
15557a3d3
hex3a4e836

61138998 has 48 divisors (see below), whose sum is σ = 142112880. Its totient is φ = 18937152.

The previous prime is 61138997. The next prime is 61139009. The reversal of 61138998 is 89983116.

61138998 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 not an unprimeable number, because it can be changed into a prime (61138997) 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 23 ways as a sum of consecutive naturals, for example, 16440 + ... + 19812.

It is an arithmetic number, because the mean of its divisors is an integer number (2960685).

Almost surely, 261138998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61138998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71056440).

61138998 is an abundant number, since it is smaller than the sum of its proper divisors (80973882).

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

61138998 is a wasteful number, since it uses less digits than its factorization.

61138998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3450 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 61138998 is about 7819.1430476747. The cubic root of 61138998 is about 393.9484888897.

The spelling of 61138998 in words is "sixty-one million, one hundred thirty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 3373 6042 6746 9063 10119 18126 20238 30357 60714 64087 128174 178769 192261 357538 384522 536307 576783 1072614 1153566 1608921 3217842 3396611 6793222 10189833 20379666 30569499 61138998