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61300668 = 2231113139257
BaseRepresentation
bin1110100111010…
…1111110111100
311021100101201010
43221311332330
5111143110133
610025515220
71343022102
oct351657674
9137311633
1061300668
113166a110
1218642b10
13c913cb0
1481d9c72
1555ad263
hex3a75fbc

61300668 has 96 divisors (see below), whose sum is σ = 169908480. Its totient is φ = 16957440.

The previous prime is 61300667. The next prime is 61300697. The reversal of 61300668 is 86600316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61300661) 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, 238396 + ... + 238652.

It is an arithmetic number, because the mean of its divisors is an integer number (1769880).

Almost surely, 261300668 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 61300668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84954240).

61300668 is an abundant number, since it is smaller than the sum of its proper divisors (108607812).

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

61300668 is a wasteful number, since it uses less digits than its factorization.

61300668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 61300668 is about 7829.4743118552. The cubic root of 61300668 is about 394.2954229163.

The spelling of 61300668 in words is "sixty-one million, three hundred thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 139 143 156 257 278 286 417 429 514 556 572 771 834 858 1028 1529 1542 1668 1716 1807 2827 3058 3084 3341 3614 4587 5421 5654 6116 6682 7228 8481 9174 10023 10842 11308 13364 16962 18348 19877 20046 21684 33924 35723 36751 39754 40092 59631 71446 73502 79508 107169 110253 119262 142892 147004 214338 220506 238524 392953 428676 441012 464399 785906 928798 1178859 1393197 1571812 1857596 2357718 2786394 4715436 5108389 5572788 10216778 15325167 20433556 30650334 61300668