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1241485704 = 23343136121
BaseRepresentation
bin100100111111111…
…1001000110001000
310012112002000020000
41021333321012020
510020310020304
6323105203000
742523311564
oct11177710610
93175060200
101241485704
11587871648
122a7930460
1316a28b334
14bac4c6a4
1573ed2939
hex49ff9188

1241485704 has 80 divisors (see below), whose sum is σ = 3488989020. Its totient is φ = 412439040.

The previous prime is 1241485703. The next prime is 1241485717. The reversal of 1241485704 is 4075841421.

It is a happy number.

1241485704 is a `hidden beast` number, since 1 + 2 + 41 + 48 + 570 + 4 = 666.

1241485704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 876752100 + 364733604 = 29610^2 + 19098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1241485703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199764 + ... + 205884.

Almost surely, 21241485704 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 1241485704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744494510).

1241485704 is an abundant number, since it is smaller than the sum of its proper divisors (2247503316).

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

1241485704 is a wasteful number, since it uses less digits than its factorization.

1241485704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1241485704 is about 35234.7229874168. The cubic root of 1241485704 is about 1074.7659714820.

The spelling of 1241485704 in words is "one billion, two hundred forty-one million, four hundred eighty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 313 324 626 648 939 1252 1878 2504 2817 3756 5634 6121 7512 8451 11268 12242 16902 18363 22536 24484 25353 33804 36726 48968 50706 55089 67608 73452 101412 110178 146904 165267 202824 220356 330534 440712 495801 661068 991602 1322136 1915873 1983204 3831746 3966408 5747619 7663492 11495238 15326984 17242857 22990476 34485714 45980952 51728571 68971428 103457142 137942856 155185713 206914284 310371426 413828568 620742852 1241485704