Search a number
-
+
671203072 = 2831831019
BaseRepresentation
bin101000000000011…
…011111100000000
31201202222122112001
4220000123330000
52333311444242
6150334113344
722430063161
oct5000337400
91652878461
10671203072
11314970891
1216894b854
13a9098ba7
14651dd768
153ddd4eb7
hex2801bf00

671203072 has 72 divisors (see below), whose sum is σ = 1401039360. Its totient is φ = 320547840.

The previous prime is 671203021. The next prime is 671203111. The reversal of 671203072 is 270302176.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 671203072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658179 + ... + 659197.

It is an arithmetic number, because the mean of its divisors is an integer number (19458880).

Almost surely, 2671203072 is an apocalyptic number.

671203072 is a gapful number since it is divisible by the number (62) 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 671203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700519680).

671203072 is an abundant number, since it is smaller than the sum of its proper divisors (729836288).

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

671203072 is a wasteful number, since it uses less digits than its factorization.

671203072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 671203072 is about 25907.5871512574. The cubic root of 671203072 is about 875.5574448421.

The spelling of 671203072 in words is "six hundred seventy-one million, two hundred three thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 128 166 248 256 332 496 664 992 1019 1328 1984 2038 2573 2656 3968 4076 5146 5312 7936 8152 10292 10624 16304 20584 21248 31589 32608 41168 63178 65216 82336 84577 126356 130432 164672 169154 252712 260864 329344 338308 505424 658688 676616 1010848 1353232 2021696 2621887 2706464 4043392 5243774 5412928 8086784 10487548 10825856 20975096 21651712 41950192 83900384 167800768 335601536 671203072