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272278890 = 232513317507
BaseRepresentation
bin10000001110101…
…010010101101010
3200222100012102100
4100032222111222
51024200411030
643003514230
76514222002
oct2016522552
9628305370
10272278890
1112a770184
1277228976
1344543190
1428239002
1518d85360
hex103aa56a

272278890 has 96 divisors (see below), whose sum is σ = 787078656. Its totient is φ = 64851840.

The previous prime is 272278871. The next prime is 272278933. The reversal of 272278890 is 98872272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32517 + ... + 40023.

It is an arithmetic number, because the mean of its divisors is an integer number (8198736).

Almost surely, 2272278890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272278890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393539328).

272278890 is an abundant number, since it is smaller than the sum of its proper divisors (514799766).

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

272278890 is a wasteful number, since it uses less digits than its factorization.

272278890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 272278890 is about 16500.8754313218. The cubic root of 272278890 is about 648.1437295489.

The spelling of 272278890 in words is "two hundred seventy-two million, two hundred seventy-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 7507 12090 15014 18135 22521 36270 37535 45042 67563 75070 97591 112605 135126 195182 225210 232717 292773 337815 465434 487955 585546 675630 698151 878319 975910 1163585 1396302 1463865 1756638 2094453 2327170 2927730 3025321 3490755 4188906 4391595 6050642 6981510 8783190 9075963 10472265 15126605 18151926 20944530 27227889 30253210 45379815 54455778 90759630 136139445 272278890