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272554040 = 235115910499
BaseRepresentation
bin10000001111101…
…101100000111000
3200222212011212002
4100033231200320
51024233212130
643013440132
76516446123
oct2017554070
9628764762
10272554040
1112a938980
1277340048
134460b4a5
14282ab3ba
1518ddbb45
hex103ed838

272554040 has 64 divisors (see below), whose sum is σ = 680400000. Its totient is φ = 97421440.

The previous prime is 272554027. The next prime is 272554049. The reversal of 272554040 is 40455272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 272553994 and 272554012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272554049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20711 + ... + 31209.

It is an arithmetic number, because the mean of its divisors is an integer number (10631250).

Almost surely, 2272554040 is an apocalyptic number.

272554040 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 272554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200000).

272554040 is an abundant number, since it is smaller than the sum of its proper divisors (407845960).

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

272554040 is a wasteful number, since it uses less digits than its factorization.

272554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10580 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 272554040 is about 16509.2107624804. The cubic root of 272554040 is about 648.3619821262.

It can be divided in two parts, 2725 and 54040, that added together give a palindrome (56765).

The spelling of 272554040 in words is "two hundred seventy-two million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 10499 12980 20998 25960 41996 52495 83992 104990 115489 209980 230978 419960 461956 577445 619441 923912 1154890 1238882 2309780 2477764 3097205 4619560 4955528 6194410 6813851 12388820 13627702 24777640 27255404 34069255 54510808 68138510 136277020 272554040