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272021000 = 23532311827
BaseRepresentation
bin10000001101101…
…011011000001000
3200221212002122212
4100031223120020
51024114133000
642554204252
76512066066
oct2015533010
9627762585
10272021000
1112a604449
1277123688
1344482994
14281ad036
1518d33c35
hex1036b608

272021000 has 64 divisors (see below), whose sum is σ = 664260480. Its totient is φ = 104068800.

The previous prime is 272020997. The next prime is 272021011. The reversal of 272021000 is 120272.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17087 + ... + 28913.

It is an arithmetic number, because the mean of its divisors is an integer number (10379070).

Almost surely, 2272021000 is an apocalyptic number.

272021000 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 272021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332130240).

272021000 is an abundant number, since it is smaller than the sum of its proper divisors (392239480).

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

272021000 is a wasteful number, since it uses less digits than its factorization.

272021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 272021000 is about 16493.0591461984. The cubic root of 272021000 is about 647.9390342989.

Adding to 272021000 its reverse (120272), we get a palindrome (272141272).

The spelling of 272021000 in words is "two hundred seventy-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 11827 23000 23654 47308 59135 94616 118270 236540 272021 295675 473080 544042 591350 1088084 1182700 1360105 1478375 2176168 2365400 2720210 2956750 5440420 5913500 6800525 10880840 11827000 13601050 27202100 34002625 54404200 68005250 136010500 272021000