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61244080 = 2457310487
BaseRepresentation
bin1110100110100…
…0001010110000
311021020112002021
43221220022300
5111134302310
610024401224
71342365112
oct351501260
9137215067
1061244080
1131630647
1218616214
13c8c4301
1481c33b2
15559b5da
hex3a682b0

61244080 has 40 divisors (see below), whose sum is σ = 144356832. Its totient is φ = 24159744.

The previous prime is 61244063. The next prime is 61244093. The reversal of 61244080 is 8044216.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 597 + ... + 11083.

Almost surely, 261244080 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 61244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72178416).

61244080 is an abundant number, since it is smaller than the sum of its proper divisors (83112752).

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

61244080 is a wasteful number, since it uses less digits than its factorization.

61244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 61244080 is about 7825.8596971834. The cubic root of 61244080 is about 394.1740579605.

Adding to 61244080 its reverse (8044216), we get a palindrome (69288296).

The spelling of 61244080 in words is "sixty-one million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 10487 20974 41948 52435 83896 104870 167792 209740 419480 765551 838960 1531102 3062204 3827755 6124408 7655510 12248816 15311020 30622040 61244080