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61028460 = 223253110937
BaseRepresentation
bin1110100011001…
…1100001101100
311020211120022100
43220303201230
5111110402320
610020015100
71340506353
oct350634154
9136746270
1061028460
11314a3649
1218531490
13c84a11c
14816899a
155557790
hex3a3386c

61028460 has 72 divisors (see below), whose sum is σ = 191108736. Its totient is φ = 15747840.

The previous prime is 61028447. The next prime is 61028483. The reversal of 61028460 is 6482016.

61028460 is a `hidden beast` number, since 610 + 2 + 8 + 46 + 0 = 666.

61028460 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, 112 + ... + 11048.

It is an arithmetic number, because the mean of its divisors is an integer number (2654288).

Almost surely, 261028460 is an apocalyptic number.

61028460 is a gapful number since it is divisible by the number (60) 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 61028460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95554368).

61028460 is an abundant number, since it is smaller than the sum of its proper divisors (130080276).

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

61028460 is a wasteful number, since it uses less digits than its factorization.

61028460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61028460 is about 7812.0714282449. The cubic root of 61028460 is about 393.7109288518.

The spelling of 61028460 in words is "sixty-one million, twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 10937 21874 32811 43748 54685 65622 98433 109370 131244 164055 196866 218740 328110 339047 393732 492165 656220 678094 984330 1017141 1356188 1695235 1968660 2034282 3051423 3390470 4068564 5085705 6102846 6780940 10171410 12205692 15257115 20342820 30514230 61028460