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61307532 = 2232111311909
BaseRepresentation
bin1110100111011…
…1101010001100
311021100202010100
43221313222030
5111143320112
610030011100
71343051106
oct351675214
9137322110
1061307532
1131674290
1218646a90
13c917160
1481dc576
1555b02dc
hex3a77a8c

61307532 has 72 divisors (see below), whose sum is σ = 182080080. Its totient is φ = 17147520.

The previous prime is 61307513. The next prime is 61307539. The reversal of 61307532 is 23570316.

It is a happy number.

It is a super-2 number, since 2×613075322 = 7517226959862048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61307496 and 61307505.

It is not an unprimeable number, because it can be changed into a prime (61307539) 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, 807 + ... + 11102.

It is an arithmetic number, because the mean of its divisors is an integer number (2528890).

Almost surely, 261307532 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 61307532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91040040).

61307532 is an abundant number, since it is smaller than the sum of its proper divisors (120772548).

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

61307532 is a wasteful number, since it uses less digits than its factorization.

61307532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 61307532 is about 7829.9126431909. The cubic root of 61307532 is about 394.3101391386.

Adding to 61307532 its reverse (23570316), we get a palindrome (84877848).

The spelling of 61307532 in words is "sixty-one million, three hundred seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 11909 23818 35727 47636 71454 107181 130999 142908 154817 214362 261998 309634 392997 428724 464451 523996 619268 785994 928902 1178991 1393353 1571988 1702987 1857804 2357982 2786706 3405974 4715964 5108961 5573412 6811948 10217922 15326883 20435844 30653766 61307532