Search a number
-
+
61598140 = 22517237877
BaseRepresentation
bin1110101011111…
…0100110111100
311021220111202121
43222332212330
5111232120030
610040132324
71345401262
oct352764674
9137814677
1061598140
113185265a
12187670a4
13c9b9506
148276432
15561b47a
hex3abe9bc

61598140 has 48 divisors (see below), whose sum is σ = 142938432. Its totient is φ = 22178816.

The previous prime is 61598129. The next prime is 61598149. The reversal of 61598140 is 4189516.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 61598096 and 61598105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61598149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 11758.

It is an arithmetic number, because the mean of its divisors is an integer number (2977884).

Almost surely, 261598140 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 61598140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71469216).

61598140 is an abundant number, since it is smaller than the sum of its proper divisors (81340292).

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

61598140 is a wasteful number, since it uses less digits than its factorization.

61598140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 61598140 is about 7848.4482542729. The cubic root of 61598140 is about 394.9321893956.

The spelling of 61598140 in words is "sixty-one million, five hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 7877 15754 31508 39385 78770 133909 157540 181171 267818 362342 535636 669545 724684 905855 1339090 1811710 2678180 3079907 3623420 6159814 12319628 15399535 30799070 61598140