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61083666 = 2337533049
BaseRepresentation
bin1110100100000…
…1000000010010
311020221101001000
43221001000102
5111114134131
610021122430
71341126330
oct351010022
9136841030
1061083666
1131531076
1218559416
13c8692a7
148180b50
155568ce6
hex3a41012

61083666 has 64 divisors (see below), whose sum is σ = 158112000. Its totient is φ = 17117568.

The previous prime is 61083661. The next prime is 61083667. The reversal of 61083666 is 66638016.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61083666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61083661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18510 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (2470500).

Almost surely, 261083666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61083666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056000).

61083666 is an abundant number, since it is smaller than the sum of its proper divisors (97028334).

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

61083666 is a wasteful number, since it uses less digits than its factorization.

61083666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61083666 is about 7815.6040073688. The cubic root of 61083666 is about 393.8296093001.

The spelling of 61083666 in words is "sixty-one million, eighty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3049 3339 6098 6678 9147 10017 18294 20034 21343 27441 42686 54882 64029 82323 128058 161597 164646 192087 323194 384174 484791 576261 969582 1131179 1152522 1454373 2262358 2908746 3393537 4363119 6787074 8726238 10180611 20361222 30541833 61083666