Search a number
-
+
2073891564 = 223275897591
BaseRepresentation
bin111101110011101…
…0001001011101100
312100112101121101200
41323213101023230
513221404012224
6541442405500
7102251534043
oct17347211354
95315347350
102073891564
11974726478
1249a660890
13270879294
1415961155a
15c210b5c9
hex7b9d12ec

2073891564 has 36 divisors (see below), whose sum is σ = 5243718480. Its totient is φ = 691115040.

The previous prime is 2073891559. The next prime is 2073891571. The reversal of 2073891564 is 4651983702.

2073891564 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 89 + 1 + 564 = 666.

2073891564 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

2073891564 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269409 + ... + 276999.

It is a 1-persistent number, because it is pandigital, but 2⋅2073891564 = 4147783128 is not.

Almost surely, 22073891564 is an apocalyptic number.

It is an amenable number.

2073891564 is an abundant number, since it is smaller than the sum of its proper divisors (3169826916).

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

2073891564 is a wasteful number, since it uses less digits than its factorization.

2073891564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2073891564 is about 45539.9996047431. Note that the first 3 decimals coincide. The cubic root of 2073891564 is about 1275.2500473831.

The spelling of 2073891564 in words is "two billion, seventy-three million, eight hundred ninety-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7589 7591 15178 15182 22767 22773 30356 30364 45534 45546 68301 68319 91068 91092 136602 136638 273204 273276 57608099 115216198 172824297 230432396 345648594 518472891 691297188 1036945782 2073891564