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61812072 = 2334713627
BaseRepresentation
bin1110101111001…
…0110101101000
311022022101020000
43223302311220
5111310441242
610044503000
71350252060
oct353626550
9138271200
1061812072
1131989363
121884aa60
13ca629ba
1482d03a0
15565ea4c
hex3af2d68

61812072 has 80 divisors (see below), whose sum is σ = 197878560. Its totient is φ = 17659296.

The previous prime is 61812067. The next prime is 61812083. The reversal of 61812072 is 27021816.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2278 + ... + 11349.

It is an arithmetic number, because the mean of its divisors is an integer number (2473482).

Almost surely, 261812072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61812072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939280).

61812072 is an abundant number, since it is smaller than the sum of its proper divisors (136066488).

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

61812072 is a wasteful number, since it uses less digits than its factorization.

61812072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61812072 is about 7862.0653774946. The cubic root of 61812072 is about 395.3888644997.

Adding to 61812072 its reverse (27021816), we get a palindrome (88833888).

The spelling of 61812072 in words is "sixty-one million, eight hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 13627 27254 40881 54508 81762 95389 109016 122643 163524 190778 245286 286167 327048 367929 381556 490572 572334 735858 763112 858501 981144 1103787 1144668 1471716 1717002 2207574 2289336 2575503 2943432 3434004 4415148 5151006 6868008 7726509 8830296 10302012 15453018 20604024 30906036 61812072