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61245840 = 2435255191
BaseRepresentation
bin1110100110100…
…0100110010000
311021020121111110
43221220212100
5111134331330
610024413320
71342403205
oct351504620
9137217443
1061245840
11316319a7
1218617240
13c8c5056
1481c3cac
15559bdb0
hex3a68990

61245840 has 40 divisors (see below), whose sum is σ = 189862848. Its totient is φ = 16332160.

The previous prime is 61245829. The next prime is 61245859. The reversal of 61245840 is 4854216.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61245798 and 61245807.

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, 127356 + ... + 127835.

Almost surely, 261245840 is an apocalyptic number.

61245840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61245840 is an abundant number, since it is smaller than the sum of its proper divisors (128617008).

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

61245840 is a wasteful number, since it uses less digits than its factorization.

61245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255207 (or 255201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 61245840 is about 7825.9721440854. The cubic root of 61245840 is about 394.1778337795.

The spelling of 61245840 in words is "sixty-one million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 255191 510382 765573 1020764 1275955 1531146 2041528 2551910 3062292 3827865 4083056 5103820 6124584 7655730 10207640 12249168 15311460 20415280 30622920 61245840