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61240064 = 281391721
BaseRepresentation
bin1110100110011…
…1001100000000
311021020022120112
43221213030000
5111134140224
610024330452
71342350314
oct351471400
9137208515
1061240064
1131628626
1218613a28
13c8c2532
1481c1b44
15559a30e
hex3a67300

61240064 has 36 divisors (see below), whose sum is σ = 123191880. Its totient is φ = 30382080.

The previous prime is 61240057. The next prime is 61240073. The reversal of 61240064 is 46004216.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34724 + ... + 36444.

Almost surely, 261240064 is an apocalyptic number.

61240064 is a gapful number since it is divisible by the number (64) 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 61240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61595940).

61240064 is an abundant number, since it is smaller than the sum of its proper divisors (61951816).

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

61240064 is a wasteful number, since it uses less digits than its factorization.

61240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 61240064 is about 7825.6031077483. The cubic root of 61240064 is about 394.1654419570.

The spelling of 61240064 in words is "sixty-one million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 1112 1721 2224 3442 4448 6884 8896 13768 17792 27536 35584 55072 110144 220288 239219 440576 478438 956876 1913752 3827504 7655008 15310016 30620032 61240064