Search a number
-
+
5730067008 = 26341105337
BaseRepresentation
bin1010101011000100…
…11110001001000000
3112210100010120020000
411111202132021000
543213344121013
62344331120000
7261665523501
oct52542361100
915710116200
105730067008
112480523176
12113aba3000
137041975c3
143c5024ba8
152380b7973
hex15589e240

5730067008 has 70 divisors (see below), whose sum is σ = 16985729046. Its totient is φ = 1910020608.

The previous prime is 5730066983. The next prime is 5730067019. The reversal of 5730067008 is 8007600375.

It can be written as a sum of positive squares in only one way, i.e., 5563966464 + 166100544 = 74592^2 + 12888^2 .

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 547485 + ... + 557852.

Almost surely, 25730067008 is an apocalyptic number.

It is an amenable number.

5730067008 is an abundant number, since it is smaller than the sum of its proper divisors (11255662038).

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

5730067008 is a wasteful number, since it uses less digits than its factorization.

5730067008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105361 (or 1105342 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5730067008 is about 75697.2060778996. The cubic root of 5730067008 is about 1789.4513687479.

The spelling of 5730067008 in words is "five billion, seven hundred thirty million, sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 1105337 2210674 3316011 4421348 6632022 8842696 9948033 13264044 17685392 19896066 26528088 29844099 35370784 39792132 53056176 59688198 70741568 79584264 89532297 106112352 119376396 159168528 179064594 212224704 238752792 318337056 358129188 477505584 636674112 716258376 955011168 1432516752 1910022336 2865033504 5730067008