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61601220 = 223252911801
BaseRepresentation
bin1110101011111…
…1010111000100
311021220122222200
43222333113010
5111232214340
610040154500
71345413252
oct352772704
9137818880
1061601220
11318549aa
1218768a30
13c9baa35
1482775d2
15561c330
hex3abf5c4

61601220 has 72 divisors (see below), whose sum is σ = 193316760. Its totient is φ = 15859200.

The previous prime is 61601209. The next prime is 61601227. The reversal of 61601220 is 2210616.

It is a happy number.

61601220 is a `hidden beast` number, since 61 + 601 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 54375876 = 2688^2 + 7374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61601193 and 61601202.

It is not an unprimeable number, because it can be changed into a prime (61601227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (2684955).

Almost surely, 261601220 is an apocalyptic number.

61601220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61601220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96658380).

61601220 is an abundant number, since it is smaller than the sum of its proper divisors (131715540).

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

61601220 is a wasteful number, since it uses less digits than its factorization.

61601220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11845 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61601220 is about 7848.6444689513. The cubic root of 61601220 is about 394.9387716878.

Adding to 61601220 its reverse (2210616), we get a palindrome (63811836).

The spelling of 61601220 in words is "sixty-one million, six hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 11801 23602 35403 47204 59005 70806 106209 118010 141612 177015 212418 236020 342229 354030 424836 531045 684458 708060 1026687 1062090 1368916 1711145 2053374 2124180 3080061 3422290 4106748 5133435 6160122 6844580 10266870 12320244 15400305 20533740 30800610 61601220