Search a number
-
+
670089960 = 233254574073
BaseRepresentation
bin100111111100001…
…100001011101000
31201200220002121200
4213330030023220
52333020334320
6150254204200
722414446021
oct4774141350
91650802550
10670089960
11314280561
121684b3660
13a8a99347
1464dcdc48
153dc65290
hex27f0c2e8

670089960 has 96 divisors (see below), whose sum is σ = 2183093640. Its totient is φ = 178255872.

The previous prime is 670089913. The next prime is 670089997. The reversal of 670089960 is 69980076.

670089960 is digitally balanced in base 2, 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 4 ways, for example, as 524501604 + 145588356 = 22902^2 + 12066^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162484 + ... + 166556.

Almost surely, 2670089960 is an apocalyptic number.

670089960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670089960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091546820).

670089960 is an abundant number, since it is smaller than the sum of its proper divisors (1513003680).

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

670089960 is a wasteful number, since it uses less digits than its factorization.

670089960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 670089960 is about 25886.0958817663. The cubic root of 670089960 is about 875.0731737445.

The spelling of 670089960 in words is "six hundred seventy million, eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 457 914 1371 1828 2285 2742 3656 4073 4113 4570 5484 6855 8146 8226 9140 10968 12219 13710 16292 16452 18280 20365 20565 24438 27420 32584 32904 36657 40730 41130 48876 54840 61095 73314 81460 82260 97752 122190 146628 162920 164520 183285 244380 293256 366570 488760 733140 1466280 1861361 3722722 5584083 7445444 9306805 11168166 14890888 16752249 18613610 22336332 27920415 33504498 37227220 44672664 55840830 67008996 74454440 83761245 111681660 134017992 167522490 223363320 335044980 670089960