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61506060 = 223571113313
BaseRepresentation
bin1110101010100…
…0001000001100
311021201211110020
43222220020030
5111221143220
610034142140
71344535650
oct352501014
9137654406
1061506060
113179a460
1218721950
13c986625
148250a60
1555ee040
hex3aa820c

61506060 has 96 divisors (see below), whose sum is σ = 214728192. Its totient is φ = 12779520.

The previous prime is 61506041. The next prime is 61506073. The reversal of 61506060 is 6060516.

It is a self number, because there is not a number n which added to its sum of digits gives 61506060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037 + ... + 11276.

It is an arithmetic number, because the mean of its divisors is an integer number (2236752).

Almost surely, 261506060 is an apocalyptic number.

61506060 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 61506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107364096).

61506060 is an abundant number, since it is smaller than the sum of its proper divisors (153222132).

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

61506060 is a wasteful number, since it uses less digits than its factorization.

61506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13343 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61506060 is about 7842.5799326497. The cubic root of 61506060 is about 394.7353030864.

Adding to 61506060 its reverse (6060516), we get a palindrome (67566576).

The spelling of 61506060 in words is "sixty-one million, five hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 13313 26626 39939 53252 66565 79878 93191 133130 146443 159756 186382 199695 266260 279573 292886 372764 399390 439329 465955 559146 585772 732215 798780 878658 931910 1025101 1118292 1397865 1464430 1757316 1863820 2050202 2196645 2795730 2928860 3075303 4100404 4393290 5125505 5591460 6150606 8786580 10251010 12301212 15376515 20502020 30753030 61506060