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61254820 = 22511416791
BaseRepresentation
bin1110100110101…
…0110010100100
311021021001211001
43221222302210
5111140123240
610024523044
71342441324
oct351526244
9137231731
1061254820
1131638720
1218620484
13c8c9173
1481c7284
15559e89a
hex3a6aca4

61254820 has 48 divisors (see below), whose sum is σ = 143773056. Its totient is φ = 21728000.

The previous prime is 61254799. The next prime is 61254827. The reversal of 61254820 is 2845216.

61254820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61254827) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5625 + ... + 12415.

It is an arithmetic number, because the mean of its divisors is an integer number (2995272).

Almost surely, 261254820 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 61254820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71886528).

61254820 is an abundant number, since it is smaller than the sum of its proper divisors (82518236).

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

61254820 is a wasteful number, since it uses less digits than its factorization.

61254820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 61254820 is about 7826.5458536956. The cubic root of 61254820 is about 394.1970979122.

The spelling of 61254820 in words is "sixty-one million, two hundred fifty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 6791 9020 13582 27164 33955 67910 74701 135820 149402 278431 298804 373505 556862 747010 1113724 1392155 1494020 2784310 3062741 5568620 6125482 12250964 15313705 30627410 61254820