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61040790 = 2345179421
BaseRepresentation
bin1110100011011…
…0100010010110
311020212012020000
43220312202112
5111111301130
610020152130
71340560326
oct350664226
9136765200
1061040790
1131501938
1218538646
13c852915
14816d286
15555b260
hex3a36896

61040790 has 80 divisors (see below), whose sum is σ = 165440880. Its totient is φ = 16148160.

The previous prime is 61040783. The next prime is 61040797. The reversal of 61040790 is 9704016.

61040790 is a `hidden beast` number, since 610 + 40 + 7 + 9 + 0 = 666.

61040790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61040783) and next prime (61040797).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61040797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144780 + ... + 145200.

It is an arithmetic number, because the mean of its divisors is an integer number (2068011).

Almost surely, 261040790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61040790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82720440).

61040790 is an abundant number, since it is smaller than the sum of its proper divisors (104400090).

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

61040790 is a wasteful number, since it uses less digits than its factorization.

61040790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61040790 is about 7812.8605516802. The cubic root of 61040790 is about 393.7374417763.

The spelling of 61040790 in words is "sixty-one million, forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 270 358 405 421 537 810 842 895 1074 1263 1611 1790 2105 2526 2685 3222 3789 4210 4833 5370 6315 7578 8055 9666 11367 12630 14499 16110 18945 22734 24165 28998 34101 37890 48330 56835 68202 72495 75359 113670 144990 150718 170505 226077 341010 376795 452154 678231 753590 1130385 1356462 2034693 2260770 3391155 4069386 6104079 6782310 10173465 12208158 20346930 30520395 61040790