Search a number
-
+
272578020 = 2235111331769
BaseRepresentation
bin10000001111110…
…011010111100100
3200222220101202020
4100033303113210
51024234444040
643014143140
76516606051
oct2017632744
9628811666
10272578020
1112a9549a0
1277351ab0
1344619390
14282b6028
1518de3cd0
hex103f35e4

272578020 has 96 divisors (see below), whose sum is σ = 896676480. Its totient is φ = 60994560.

The previous prime is 272578003. The next prime is 272578049. The reversal of 272578020 is 20875272.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7305 + ... + 24464.

It is an arithmetic number, because the mean of its divisors is an integer number (9340380).

Almost surely, 2272578020 is an apocalyptic number.

272578020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272578020 is an abundant number, since it is smaller than the sum of its proper divisors (624098460).

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

272578020 is a wasteful number, since it uses less digits than its factorization.

272578020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31805 (or 31803 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 272578020 is about 16509.9370077538. The cubic root of 272578020 is about 648.3809964159.

The spelling of 272578020 in words is "two hundred seventy-two million, five hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 31769 63538 95307 127076 158845 190614 317690 349459 381228 412997 476535 635380 698918 825994 953070 1048377 1238991 1397836 1651988 1747295 1906140 2064985 2096754 2477982 3494590 4129970 4193508 4542967 4955964 5241885 6194955 6989180 8259940 9085934 10483770 12389910 13628901 18171868 20967540 22714835 24779820 27257802 45429670 54515604 68144505 90859340 136289010 272578020