Search a number
-
+
61245720 = 233556301
BaseRepresentation
bin1110100110100…
…0100100011000
311021020121100000
43221220210120
5111134330340
610024413000
71342402644
oct351504430
9137217300
1061245720
11316318a8
1218617160
13c8c4c93
1481c3c24
15559bd30
hex3a68918

61245720 has 96 divisors (see below), whose sum is σ = 206453520. Its totient is φ = 16329600.

The previous prime is 61245719. The next prime is 61245727. The reversal of 61245720 is 2754216.

61245720 is a `hidden beast` number, since 612 + 45 + 7 + 2 + 0 = 666.

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 (61245727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6570 + ... + 12870.

Almost surely, 261245720 is an apocalyptic number.

61245720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61245720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103226760).

61245720 is an abundant number, since it is smaller than the sum of its proper divisors (145207800).

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

61245720 is a wasteful number, since it uses less digits than its factorization.

61245720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 61245720 is about 7825.9644773025. The cubic root of 61245720 is about 394.1775763396.

Adding to 61245720 its reverse (2754216), we get a palindrome (63999936).

The spelling of 61245720 in words is "sixty-one million, two hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 6301 9720 12602 18903 25204 31505 37806 50408 56709 63010 75612 94515 113418 126020 151224 170127 189030 226836 252040 283545 340254 378060 453672 510381 567090 680508 756120 850635 1020762 1134180 1361016 1531143 1701270 2041524 2268360 2551905 3062286 3402540 4083048 5103810 6124572 6805080 7655715 10207620 12249144 15311430 20415240 30622860 61245720