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640931000 = 23532632437
BaseRepresentation
bin100110001100111…
…101010010111000
31122200000200001012
4212030331102320
52303034243000
6143333213052
721611552333
oct4614752270
91580020035
10640931000
112a9874a46
1215a791188
13a2a2a118
146119d61a
153b405735
hex2633d4b8

640931000 has 64 divisors (see below), whose sum is σ = 1506098880. Its totient is φ = 255292800.

The previous prime is 640930931. The next prime is 640931003. The reversal of 640931000 is 139046.

640931000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6409310003 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640931003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261782 + ... + 264218.

It is an arithmetic number, because the mean of its divisors is an integer number (23532795).

Almost surely, 2640931000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753049440).

640931000 is an abundant number, since it is smaller than the sum of its proper divisors (865167880).

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

640931000 is a wasteful number, since it uses less digits than its factorization.

640931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 640931000 is about 25316.6150975994. The cubic root of 640931000 is about 862.1915441144.

The spelling of 640931000 in words is "six hundred forty million, nine hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 263 500 526 1000 1052 1315 2104 2437 2630 4874 5260 6575 9748 10520 12185 13150 19496 24370 26300 32875 48740 52600 60925 65750 97480 121850 131500 243700 263000 304625 487400 609250 640931 1218500 1281862 2437000 2563724 3204655 5127448 6409310 12818620 16023275 25637240 32046550 64093100 80116375 128186200 160232750 320465500 640931000