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61463080 = 2357317397
BaseRepresentation
bin1110101001110…
…1101000101000
311021122122111101
43222131220220
5111213304310
610033211144
71344266440
oct352355050
9137578441
1061463080
1131770138
1218700ab4
13c96cbb3
14823d120
1555e143a
hex3a9da28

61463080 has 128 divisors (see below), whose sum is σ = 167086080. Its totient is φ = 19906560.

The previous prime is 61463063. The next prime is 61463089. The reversal of 61463080 is 8036416.

61463080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61463089) 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 31 ways as a sum of consecutive naturals, for example, 633592 + ... + 633688.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 261463080 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 61463080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83543040).

61463080 is an abundant number, since it is smaller than the sum of its proper divisors (105623000).

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

61463080 is a wasteful number, since it uses less digits than its factorization.

61463080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61463080 is about 7839.8392840670. The cubic root of 61463080 is about 394.6433355811.

Adding to 61463080 its reverse (8036416), we get a palindrome (69499496).

The spelling of 61463080 in words is "sixty-one million, four hundred sixty-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 73 97 124 140 146 155 194 217 248 280 292 310 365 388 434 485 511 584 620 679 730 776 868 970 1022 1085 1240 1358 1460 1736 1940 2044 2170 2263 2555 2716 2920 3007 3395 3880 4088 4340 4526 5110 5432 6014 6790 7081 8680 9052 10220 11315 12028 13580 14162 15035 15841 18104 20440 21049 22630 24056 27160 28324 30070 31682 35405 42098 45260 49567 56648 60140 63364 70810 79205 84196 90520 99134 105245 120280 126728 141620 158410 168392 198268 210490 219511 247835 283240 316820 396536 420980 439022 495670 633640 841960 878044 991340 1097555 1536577 1756088 1982680 2195110 3073154 4390220 6146308 7682885 8780440 12292616 15365770 30731540 61463080