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61530 = 2357293
BaseRepresentation
bin1111000001011010
310010101220
433001122
53432110
61152510
7344250
oct170132
9103356
1061530
1142257
122b736
1322011
14185d0
1513370
hexf05a

61530 has 32 divisors (see below), whose sum is σ = 169344. Its totient is φ = 14016.

The previous prime is 61519. The next prime is 61543. The reversal of 61530 is 3516.

61530 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

261530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

61530 is an abundant number, since it is smaller than the sum of its proper divisors (107814).

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

61530 is a wasteful number, since it uses less digits than its factorization.

61530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 61530 is about 248.0524138161. The cubic root of 61530 is about 39.4786510709.

It can be divided in two parts, 6 and 1530, that multiplied together give a triangular number (9180 = T135).

The spelling of 61530 in words is "sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 293 586 879 1465 1758 2051 2930 4102 4395 6153 8790 10255 12306 20510 30765 61530