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61013766 = 23112312711
BaseRepresentation
bin1110100010111…
…1111100000110
311020210211011010
43220233330012
5111104420031
610015423050
71340415462
oct350577406
9136724133
1061013766
1131493600
1218524a86
13c843528
1481634a2
155553246
hex3a2ff06

61013766 has 48 divisors (see below), whose sum is σ = 138507264. Its totient is φ = 17886000.

The previous prime is 61013747. The next prime is 61013791. The reversal of 61013766 is 66731016.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21151 + ... + 23861.

It is an arithmetic number, because the mean of its divisors is an integer number (2885568).

Almost surely, 261013766 is an apocalyptic number.

61013766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61013766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69253632).

61013766 is an abundant number, since it is smaller than the sum of its proper divisors (77493498).

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

61013766 is a wasteful number, since it uses less digits than its factorization.

61013766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61013766 is about 7811.1309040369. The cubic root of 61013766 is about 393.6793280066.

The spelling of 61013766 in words is "sixty-one million, thirteen thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 2711 3751 5422 7502 8133 11253 16266 22506 29821 59642 84041 89463 168082 178926 252123 328031 504246 656062 924451 984093 1848902 1968186 2773353 5546706 10168961 20337922 30506883 61013766