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272801080 = 23583127647
BaseRepresentation
bin10000010000101…
…001110100111000
3201000022201201201
4100100221310320
51024314113310
643023023544
76521525266
oct2020516470
9630281651
10272801080
1112aa97542
127743abb4
1344696a76
1428333436
1518e39e3a
hex10429d38

272801080 has 64 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 106791552.

The previous prime is 272801071. The next prime is 272801083. The reversal of 272801080 is 80108272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272801083) 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 15 ways as a sum of consecutive naturals, for example, 421317 + ... + 421963.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2272801080 is an apocalyptic number.

272801080 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 272801080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

272801080 is an abundant number, since it is smaller than the sum of its proper divisors (354255560).

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

272801080 is a wasteful number, since it uses less digits than its factorization.

272801080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 272801080 is about 16516.6909518826. The cubic root of 272801080 is about 648.5578123744.

The spelling of 272801080 in words is "two hundred seventy-two million, eight hundred one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 83 127 166 254 332 415 508 635 647 664 830 1016 1270 1294 1660 2540 2588 3235 3320 5080 5176 6470 10541 12940 21082 25880 42164 52705 53701 82169 84328 105410 107402 164338 210820 214804 268505 328676 410845 421640 429608 537010 657352 821690 1074020 1643380 2148040 3286760 6820027 13640054 27280108 34100135 54560216 68200270 136400540 272801080