Search a number
-
+
61810290 = 2345137557
BaseRepresentation
bin1110101111001…
…0011001110010
311022022021210000
43223302121302
5111310412130
610044450430
71350243633
oct353623162
9138267700
1061810290
1131987a93
1218849a16
13ca61c49
1482cd88a
15565e260
hex3af2672

61810290 has 80 divisors (see below), whose sum is σ = 167714712. Its totient is φ = 16333056.

The previous prime is 61810289. The next prime is 61810291. The reversal of 61810290 is 9201816.

It is an interprime number because it is at equal distance from previous prime (61810289) and next prime (61810291).

It can be written as a sum of positive squares in 4 ways, for example, as 38452401 + 23357889 = 6201^2 + 4833^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61810291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110692 + ... + 111248.

Almost surely, 261810290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61810290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83857356).

61810290 is an abundant number, since it is smaller than the sum of its proper divisors (105904422).

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

61810290 is a wasteful number, since it uses less digits than its factorization.

61810290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 61810290 is about 7861.9520476787. The cubic root of 61810290 is about 395.3850648659.

The spelling of 61810290 in words is "sixty-one million, eight hundred ten thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 137 162 270 274 405 411 557 685 810 822 1114 1233 1370 1671 2055 2466 2785 3342 3699 4110 5013 5570 6165 7398 8355 10026 11097 12330 15039 16710 18495 22194 25065 30078 36990 45117 50130 55485 75195 76309 90234 110970 150390 152618 225585 228927 381545 451170 457854 686781 763090 1144635 1373562 2060343 2289270 3433905 4120686 6181029 6867810 10301715 12362058 20603430 30905145 61810290