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641272000 = 2653711129
BaseRepresentation
bin100110001110010…
…000100011000000
31122200122222210211
4212032100203000
52303131201000
6143344403504
721614502445
oct4616204300
91580588724
10641272000
112a9a88166
1215a916594
13a2b193b5
146124b9cc
153b4717ba
hex263908c0

641272000 has 112 divisors (see below), whose sum is σ = 1611904320. Its totient is φ = 252672000.

The previous prime is 641271991. The next prime is 641272001. The reversal of 641272000 is 272146.

It is a super-2 number, since 2×6412720002 = 822459555968000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641272001) 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, 567436 + ... + 568564.

Almost surely, 2641272000 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 641272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805952160).

641272000 is an abundant number, since it is smaller than the sum of its proper divisors (970632320).

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

641272000 is a wasteful number, since it uses less digits than its factorization.

641272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 641272000 is about 25323.3489096525. The cubic root of 641272000 is about 862.3444233848.

The spelling of 641272000 in words is "six hundred forty-one million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 710 800 1000 1129 1136 1420 1600 1775 2000 2258 2272 2840 3550 4000 4516 4544 5645 5680 7100 8000 8875 9032 11290 11360 14200 17750 18064 22580 22720 28225 28400 35500 36128 45160 56450 56800 71000 72256 80159 90320 112900 113600 141125 142000 160318 180640 225800 282250 284000 320636 361280 400795 451600 564500 568000 641272 801590 903200 1129000 1282544 1603180 1806400 2003975 2258000 2565088 3206360 4007950 4516000 5130176 6412720 8015900 9032000 10019875 12825440 16031800 20039750 25650880 32063600 40079500 64127200 80159000 128254400 160318000 320636000 641272000