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61530132 = 223192111279
BaseRepresentation
bin1110101010111…
…0000000010100
311021210001110210
43222232000110
5111222431012
610034445420
71344666066
oct352560024
9137701423
1061530132
1131806554
1218733870
13c994581
148259736
15560623c
hex3aae014

61530132 has 48 divisors (see below), whose sum is σ = 151961600. Its totient is φ = 19323360.

The previous prime is 61530127. The next prime is 61530179. The reversal of 61530132 is 23103516.

It is a junction number, because it is equal to n+sod(n) for n = 61530099 and 61530108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47469 + ... + 48747.

Almost surely, 261530132 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 61530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75980800).

61530132 is an abundant number, since it is smaller than the sum of its proper divisors (90431468).

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

61530132 is a wasteful number, since it uses less digits than its factorization.

61530132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 61530132 is about 7844.1144815715. The cubic root of 61530132 is about 394.7867930201.

Adding to 61530132 its reverse (23103516), we get a palindrome (84633648).

The spelling of 61530132 in words is "sixty-one million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 211 228 422 633 844 1266 1279 2532 2558 3837 4009 5116 7674 8018 12027 15348 16036 24054 24301 48108 48602 72903 97204 145806 269869 291612 539738 809607 1079476 1619214 3238428 5127511 10255022 15382533 20510044 30765066 61530132