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61246260 = 22335293911
BaseRepresentation
bin1110100110100…
…0101100110100
311021020122002000
43221220230310
5111134340020
610024415300
71342404345
oct351505464
9137218060
1061246260
1131632249
1218617530
13c8c52ba
1481c40cc
15559c090
hex3a68b34

61246260 has 96 divisors (see below), whose sum is σ = 197164800. Its totient is φ = 15765120.

The previous prime is 61246249. The next prime is 61246321. The reversal of 61246260 is 6264216.

It is a happy number.

61246260 is a `hidden beast` number, since 612 + 46 + 2 + 6 + 0 = 666.

61246260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×612462603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13705 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (2053800).

Almost surely, 261246260 is an apocalyptic number.

61246260 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 61246260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98582400).

61246260 is an abundant number, since it is smaller than the sum of its proper divisors (135918540).

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

61246260 is a wasteful number, since it uses less digits than its factorization.

61246260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61246260 is about 7825.9989777664. The cubic root of 61246260 is about 394.1787348166.

The spelling of 61246260 in words is "sixty-one million, two hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3911 3915 5220 7822 7830 11733 15644 15660 19555 23466 35199 39110 46932 58665 70398 78220 105597 113419 117330 140796 175995 211194 226838 234660 340257 351990 422388 453676 527985 567095 680514 703980 1020771 1055970 1134190 1361028 1701285 2041542 2111940 2268380 3062313 3402570 4083084 5103855 6124626 6805140 10207710 12249252 15311565 20415420 30623130 61246260