Search a number
-
+
36400870400 = 210521421909
BaseRepresentation
bin100001111001101010…
…010011010000000000
310110221211122210212012
4201321222103100000
51044022110323100
624420004552052
72426022202406
oct417152232000
9113854583765
1036400870400
111448a384774
12707a6b2628
13358151868b
141a945a7476
15e30a48135
hex879a93400

36400870400 has 66 divisors (see below), whose sum is σ = 90230142870. Its totient is φ = 14560337920.

The previous prime is 36400870399. The next prime is 36400870409. The reversal of 36400870400 is 407800463.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7993790464 + 28407079936 = 89408^2 + 168544^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36400870409) 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 5 ways as a sum of consecutive naturals, for example, 685355 + ... + 736554.

Almost surely, 236400870400 is an apocalyptic number.

It is an amenable number.

36400870400 is an abundant number, since it is smaller than the sum of its proper divisors (53829272470).

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

36400870400 is a wasteful number, since it uses less digits than its factorization.

36400870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421939 (or 1421916 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 36400870400 in words is "thirty-six billion, four hundred million, eight hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 1421909 2843818 5687636 7109545 11375272 14219090 22750544 28438180 35547725 45501088 56876360 71095450 91002176 113752720 142190900 182004352 227505440 284381800 364008704 455010880 568763600 728017408 910021760 1137527200 1456034816 1820043520 2275054400 3640087040 4550108800 7280174080 9100217600 18200435200 36400870400