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61653540 = 22351379043
BaseRepresentation
bin1110101100110…
…0001000100100
311022000022202110
43223030020210
5111240403130
610041241020
71346021634
oct353141044
9138008673
1061653540
1131890243
1218793170
13ca087b0
14828c6c4
15562cab0
hex3acc224

61653540 has 48 divisors (see below), whose sum is σ = 185911488. Its totient is φ = 15176064.

The previous prime is 61653539. The next prime is 61653563. The reversal of 61653540 is 4535616.

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 = 61653498 and 61653507.

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 15 ways as a sum of consecutive naturals, for example, 38742 + ... + 40301.

It is an arithmetic number, because the mean of its divisors is an integer number (3873156).

Almost surely, 261653540 is an apocalyptic number.

61653540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61653540 is an abundant number, since it is smaller than the sum of its proper divisors (124257948).

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

61653540 is a wasteful number, since it uses less digits than its factorization.

61653540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79068 (or 79066 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 61653540 is about 7851.9768211578. The cubic root of 61653540 is about 395.0505516672.

The spelling of 61653540 in words is "sixty-one million, six hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 79043 158086 237129 316172 395215 474258 790430 948516 1027559 1185645 1580860 2055118 2371290 3082677 4110236 4742580 5137795 6165354 10275590 12330708 15413385 20551180 30826770 61653540