Search a number
-
+
61361712 = 2434113419
BaseRepresentation
bin1110101000010…
…0111000110000
311021110111110000
43222010320300
5111202033322
610031110000
71343365056
oct352047060
9137414400
1061361712
1131700a65
1218672300
13c935a09
1482141d6
1555c13ac
hex3a84e30

61361712 has 100 divisors (see below), whose sum is σ = 179597880. Its totient is φ = 20224512.

The previous prime is 61361693. The next prime is 61361753. The reversal of 61361712 is 21716316.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146239 + ... + 146657.

Almost surely, 261361712 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 61361712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

61361712 is an abundant number, since it is smaller than the sum of its proper divisors (118236168).

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

61361712 is a wasteful number, since it uses less digits than its factorization.

61361712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61361712 is about 7833.3716878494. The cubic root of 61361712 is about 394.4262609940.

The spelling of 61361712 in words is "sixty-one million, three hundred sixty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 324 339 419 432 452 648 678 838 904 1017 1257 1296 1356 1676 1808 2034 2514 2712 3051 3352 3771 4068 5028 5424 6102 6704 7542 8136 9153 10056 11313 12204 15084 16272 18306 20112 22626 24408 30168 33939 36612 45252 47347 48816 60336 67878 73224 90504 94694 135756 142041 146448 181008 189388 271512 284082 378776 426123 543024 568164 757552 852246 1136328 1278369 1704492 2272656 2556738 3408984 3835107 5113476 6817968 7670214 10226952 15340428 20453904 30680856 61361712