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272920000 = 26546823
BaseRepresentation
bin10000010001000…
…110110111000000
3201000112202212011
4100101012313000
51024331420000
643025342304
76522532063
oct2021066700
9630482764
10272920000
11130068921
1277497994
1344708c32
14283648da
1518e602ba
hex10446dc0

272920000 has 70 divisors (see below), whose sum is σ = 676852088. Its totient is φ = 109152000.

The previous prime is 272919991. The next prime is 272920003. The reversal of 272920000 is 29272.

272920000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272920003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36589 + ... + 43411.

Almost surely, 2272920000 is an apocalyptic number.

272920000 is a gapful number since it is divisible by the number (20) 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 272920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338426044).

272920000 is an abundant number, since it is smaller than the sum of its proper divisors (403932088).

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

272920000 is an frugal number, since it uses more digits than its factorization.

272920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 272920000 is about 16520.2905543456. The cubic root of 272920000 is about 648.6520388962.

Adding to 272920000 its reverse (29272), we get a palindrome (272949272).

The spelling of 272920000 in words is "two hundred seventy-two million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 6823 8000 10000 13646 20000 27292 34115 40000 54584 68230 109168 136460 170575 218336 272920 341150 436672 545840 682300 852875 1091680 1364600 1705750 2183360 2729200 3411500 4264375 5458400 6823000 8528750 10916800 13646000 17057500 27292000 34115000 54584000 68230000 136460000 272920000