Search a number
-
+
715084128 = 253211225721
BaseRepresentation
bin101010100111110…
…101000101100000
31211211120001000100
4222213311011200
52431030143003
6154542422400
723502054243
oct5247650540
91754501010
10715084128
11337712320
1217b591a00
13b51c1105
146ad8325a
1542ba1ba3
hex2a9f5160

715084128 has 72 divisors (see below), whose sum is σ = 2218395816. Its totient is φ = 216691200.

The previous prime is 715084127. The next prime is 715084159. The reversal of 715084128 is 821480517.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7150841282 = 1022690620235040768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 715084092 and 715084101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715084127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109693 + ... + 116028.

It is an arithmetic number, because the mean of its divisors is an integer number (30811053).

Almost surely, 2715084128 is an apocalyptic number.

It is an amenable number.

715084128 is an abundant number, since it is smaller than the sum of its proper divisors (1503311688).

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

715084128 is a wasteful number, since it uses less digits than its factorization.

715084128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225748 (or 225737 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 715084128 is about 26741.0569723786. The cubic root of 715084128 is about 894.2364733363.

The spelling of 715084128 in words is "seven hundred fifteen million, eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 225721 451442 677163 902884 1354326 1805768 2031489 2482931 2708652 3611536 4062978 4965862 5417304 7223072 7448793 8125956 9931724 10834608 14897586 16251912 19863448 21669216 22346379 29795172 32503824 39726896 44692758 59590344 65007648 79453792 89385516 119180688 178771032 238361376 357542064 715084128