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61604660 = 22513313757
BaseRepresentation
bin1110101100000…
…0001100110100
311021220211201002
43223000030310
5111232322120
610040222432
71345426265
oct353001464
9137824632
1061604660
1131857547
121876aa18
13c9bc480
14827896c
15561d375
hex3ac0334

61604660 has 48 divisors (see below), whose sum is σ = 139951056. Its totient is φ = 22643712.

The previous prime is 61604659. The next prime is 61604663. The reversal of 61604660 is 6640616.

It can be written as a sum of positive squares in 8 ways, for example, as 17355556 + 44249104 = 4166^2 + 6652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61604663) by changing a digit.

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, 81002 + ... + 81758.

It is an arithmetic number, because the mean of its divisors is an integer number (2915647).

Almost surely, 261604660 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 61604660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69975528).

61604660 is an abundant number, since it is smaller than the sum of its proper divisors (78346396).

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

61604660 is a wasteful number, since it uses less digits than its factorization.

61604660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 61604660 is about 7848.8636120142. The cubic root of 61604660 is about 394.9461230795.

The spelling of 61604660 in words is "sixty-one million, six hundred four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 757 1252 1514 1565 3028 3130 3785 4069 6260 7570 8138 9841 15140 16276 19682 20345 39364 40690 49205 81380 98410 196820 236941 473882 947764 1184705 2369410 3080233 4738820 6160466 12320932 15401165 30802330 61604660