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61305156 = 2232111491039
BaseRepresentation
bin1110100111011…
…1000101000100
311021100121212100
43221313011010
5111143231111
610025552100
71343041143
oct351670504
9137317770
1061305156
1131672520
1218645630
13c916053
1481db75a
1555ae756
hex3a77144

61305156 has 72 divisors (see below), whose sum is σ = 170352000. Its totient is φ = 18434880.

The previous prime is 61305149. The next prime is 61305169. The reversal of 61305156 is 65150316.

It is a happy number.

61305156 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, 58485 + ... + 59523.

It is an arithmetic number, because the mean of its divisors is an integer number (2366000).

Almost surely, 261305156 is an apocalyptic number.

61305156 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 61305156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176000).

61305156 is an abundant number, since it is smaller than the sum of its proper divisors (109046844).

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

61305156 is a wasteful number, since it uses less digits than its factorization.

61305156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 61305156 is about 7829.7609158901. The cubic root of 61305156 is about 394.3050451860.

The spelling of 61305156 in words is "sixty-one million, three hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 894 1039 1341 1639 1788 2078 2682 3117 3278 4156 4917 5364 6234 6556 9351 9834 11429 12468 14751 18702 19668 22858 29502 34287 37404 45716 59004 68574 102861 137148 154811 205722 309622 411444 464433 619244 928866 1393299 1702921 1857732 2786598 3405842 5108763 5573196 6811684 10217526 15326289 20435052 30652578 61305156