Search a number
-
+
272133060 = 223571127503
BaseRepresentation
bin10000001110000…
…110101111000100
3200222001210101020
4100032012233010
51024131224220
643000431140
76513043563
oct2016065704
9628053336
10272133060
1112a680661
12771784b0
13444c19a4
14281dbbda
1518d57040
hex10386bc4

272133060 has 96 divisors (see below), whose sum is σ = 780337152. Its totient is φ = 70842240.

The previous prime is 272133019. The next prime is 272133061. The reversal of 272133060 is 60331272.

It is a self number, because there is not a number n which added to its sum of digits gives 272133060.

It is not an unprimeable number, because it can be changed into a prime (272133061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540769 + ... + 541271.

It is an arithmetic number, because the mean of its divisors is an integer number (8128512).

Almost surely, 2272133060 is an apocalyptic number.

272133060 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 272133060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390168576).

272133060 is an abundant number, since it is smaller than the sum of its proper divisors (508204092).

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

272133060 is a wasteful number, since it uses less digits than its factorization.

272133060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 272133060 is about 16496.4559830286. The cubic root of 272133060 is about 648.0279956660.

The spelling of 272133060 in words is "two hundred seventy-two million, one hundred thirty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 127 142 213 254 284 355 381 426 503 508 635 710 762 852 1006 1065 1270 1420 1509 1524 1905 2012 2130 2515 2540 3018 3810 4260 5030 6036 7545 7620 9017 10060 15090 18034 27051 30180 35713 36068 45085 54102 63881 71426 90170 107139 108204 127762 135255 142852 178565 180340 191643 214278 255524 270510 319405 357130 383286 428556 535695 541020 638810 714260 766572 958215 1071390 1277620 1916430 2142780 3832860 4535551 9071102 13606653 18142204 22677755 27213306 45355510 54426612 68033265 90711020 136066530 272133060