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61660512 = 2532347617
BaseRepresentation
bin1110101100110…
…1110101100000
311022000200022200
43223031311200
5111241114022
610041333200
71346051154
oct353156540
9138020280
1061660512
1131895501
1218797200
13ca0ba14
148291064
15562ebac
hex3acdd60

61660512 has 72 divisors (see below), whose sum is σ = 176137416. Its totient is φ = 20461056.

The previous prime is 61660507. The next prime is 61660523. The reversal of 61660512 is 21506616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99628 + ... + 100244.

It is an arithmetic number, because the mean of its divisors is an integer number (2446353).

Almost surely, 261660512 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 61660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88068708).

61660512 is an abundant number, since it is smaller than the sum of its proper divisors (114476904).

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

61660512 is a wasteful number, since it uses less digits than its factorization.

61660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61660512 is about 7852.4207732393. The cubic root of 61660512 is about 395.0654423430.

The spelling of 61660512 in words is "sixty-one million, six hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 347 617 694 1041 1234 1388 1851 2082 2468 2776 3123 3702 4164 4936 5552 5553 6246 7404 8328 9872 11104 11106 12492 14808 16656 19744 22212 24984 29616 33312 44424 49968 59232 88848 99936 177696 214099 428198 642297 856396 1284594 1712792 1926891 2569188 3425584 3853782 5138376 6851168 7707564 10276752 15415128 20553504 30830256 61660512