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672675000 = 233558969
BaseRepresentation
bin101000000110000…
…011010010111000
31201212202102121220
4220012003102320
52334201100000
6150425432040
722445433414
oct5006032270
91655672556
10672675000
11315786758
1216933b620
13a9492b5a
14654a3d44
153e0c61a0
hex281834b8

672675000 has 96 divisors (see below), whose sum is σ = 2102209200. Its totient is φ = 179360000.

The previous prime is 672674971. The next prime is 672675001. The reversal of 672675000 is 576276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672675001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70516 + ... + 79484.

Almost surely, 2672675000 is an apocalyptic number.

672675000 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 672675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051104600).

672675000 is an abundant number, since it is smaller than the sum of its proper divisors (1429534200).

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

672675000 is an equidigital number, since it uses as much as digits as its factorization.

672675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 672675000 is about 25935.9788710586. The cubic root of 672675000 is about 876.1970012098.

The spelling of 672675000 in words is "six hundred seventy-two million, six hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 8969 9375 12500 15000 17938 18750 25000 26907 35876 37500 44845 53814 71752 75000 89690 107628 134535 179380 215256 224225 269070 358760 448450 538140 672675 896900 1076280 1121125 1345350 1793800 2242250 2690700 3363375 4484500 5381400 5605625 6726750 8969000 11211250 13453500 16816875 22422500 26907000 28028125 33633750 44845000 56056250 67267500 84084375 112112500 134535000 168168750 224225000 336337500 672675000