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61715016 = 233211292687
BaseRepresentation
bin1110101101101…
…1001001001000
311022010110002100
43223123021020
5111244340031
610042433400
71346366106
oct353331110
9138113070
1061715016
1131922450
1218802860
13ca2a77c
1482a6c76
155640de6
hex3adb248

61715016 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 18049920.

The previous prime is 61715009. The next prime is 61715033. The reversal of 61715016 is 61051716.

61715016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21625 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 261715016 is an apocalyptic number.

61715016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61715016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

61715016 is an abundant number, since it is smaller than the sum of its proper divisors (126982584).

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

61715016 is a wasteful number, since it uses less digits than its factorization.

61715016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 61715016 is about 7855.8905287688. The cubic root of 61715016 is about 395.1818123654.

The spelling of 61715016 in words is "sixty-one million, seven hundred fifteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2687 2871 3828 5374 5742 7656 8061 10748 11484 16122 21496 22968 24183 29557 32244 48366 59114 64488 77923 88671 96732 118228 155846 177342 193464 233769 236456 266013 311692 354684 467538 532026 623384 701307 709368 857153 935076 1064052 1402614 1714306 1870152 2128104 2571459 2805228 3428612 5142918 5610456 6857224 7714377 10285836 15428754 20571672 30857508 61715016