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272338020 = 223251979631
BaseRepresentation
bin10000001110111…
…000110001100100
3200222110012112100
4100032320301210
51024204304040
643005052100
76514556253
oct2016706144
9628405470
10272338020
1112a800649
1277257030
1344564076
142825279a
1518d97b30
hex103b8c64

272338020 has 72 divisors (see below), whose sum is σ = 869581440. Its totient is φ = 68800320.

The previous prime is 272337997. The next prime is 272338057. The reversal of 272338020 is 20833272.

272338020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36396 + ... + 43235.

It is an arithmetic number, because the mean of its divisors is an integer number (12077520).

Almost surely, 2272338020 is an apocalyptic number.

272338020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272338020 is an abundant number, since it is smaller than the sum of its proper divisors (597243420).

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

272338020 is a wasteful number, since it uses less digits than its factorization.

272338020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79665 (or 79660 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 272338020 is about 16502.6670571759. The cubic root of 272338020 is about 648.1906446375.

It can be divided in two parts, 27233 and 8020, that added together give a palindrome (35253).

The spelling of 272338020 in words is "two hundred seventy-two million, three hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 79631 159262 238893 318524 398155 477786 716679 796310 955572 1194465 1433358 1512989 1592620 2388930 2866716 3025978 3583395 4538967 4777860 6051956 7166790 7564945 9077934 13616901 14333580 15129890 18155868 22694835 27233802 30259780 45389670 54467604 68084505 90779340 136169010 272338020