[go: up one dir, main page]

Search a number
-
+
272455320 = 23352419421
BaseRepresentation
bin10000001111010…
…101011010011000
3200222200011102210
4100033111122120
51024222032240
643011355120
76515555244
oct2017253230
9628604383
10272455320
1112a880795
12772b2aa0
13445a5587
1428283424
1518dbc780
hex103d5698

272455320 has 64 divisors (see below), whose sum is σ = 820844640. Its totient is φ = 72345600.

The previous prime is 272455297. The next prime is 272455321. The reversal of 272455320 is 23554272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272455321) 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, 24210 + ... + 33630.

Almost surely, 2272455320 is an apocalyptic number.

272455320 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 272455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410422320).

272455320 is an abundant number, since it is smaller than the sum of its proper divisors (548389320).

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

272455320 is a wasteful number, since it uses less digits than its factorization.

272455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9672 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 272455320 is about 16506.2206455627. The cubic root of 272455320 is about 648.2836930351.

The spelling of 272455320 in words is "two hundred seventy-two million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9421 9640 14460 18842 28263 28920 37684 47105 56526 75368 94210 113052 141315 188420 226104 282630 376840 565260 1130520 2270461 4540922 6811383 9081844 11352305 13622766 18163688 22704610 27245532 34056915 45409220 54491064 68113830 90818440 136227660 272455320