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61345260 = 223253761151
BaseRepresentation
bin1110101000000…
…0110111101100
311021102122212200
43222000313230
5111201022020
610030501500
71343266104
oct352006754
9137378780
1061345260
113169a669
1218664890
13c92b392
14820c204
1555bb590
hex3a80dec

61345260 has 144 divisors (see below), whose sum is σ = 195529152. Its totient is φ = 15552000.

The previous prime is 61345259. The next prime is 61345261. The reversal of 61345260 is 6254316.

61345260 is a `hidden beast` number, since 6 + 134 + 526 + 0 = 666.

61345260 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 (61345259) and next prime (61345261).

It is not an unprimeable number, because it can be changed into a prime (61345261) 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 47 ways as a sum of consecutive naturals, for example, 406185 + ... + 406335.

Almost surely, 261345260 is an apocalyptic number.

61345260 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 61345260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97764576).

61345260 is an abundant number, since it is smaller than the sum of its proper divisors (134183892).

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

61345260 is a wasteful number, since it uses less digits than its factorization.

61345260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61345260 is about 7832.3214949337. The cubic root of 61345260 is about 394.3910073010.

Adding to 61345260 its reverse (6254316), we get a palindrome (67599576).

The spelling of 61345260 in words is "sixty-one million, three hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 74 90 111 122 148 151 180 183 185 222 244 302 305 333 366 370 444 453 549 555 604 610 666 732 740 755 906 915 1098 1110 1220 1332 1359 1510 1665 1812 1830 2196 2220 2257 2265 2718 2745 3020 3330 3660 4514 4530 5436 5490 5587 6660 6771 6795 9028 9060 9211 10980 11174 11285 13542 13590 16761 18422 20313 22348 22570 27084 27180 27633 27935 33522 33855 36844 40626 45140 46055 50283 55266 55870 67044 67710 81252 82899 83805 92110 100566 101565 110532 111740 135420 138165 165798 167610 184220 201132 203130 251415 276330 331596 335220 340807 406260 414495 502830 552660 681614 828990 1005660 1022421 1363228 1657980 1704035 2044842 3067263 3408070 4089684 5112105 6134526 6816140 10224210 12269052 15336315 20448420 30672630 61345260