Search a number
-
+
12013170240 = 263554722877
BaseRepresentation
bin10110011000000101…
…00110111001000000
31011000012220021112010
423030002212321000
5144100332421430
65304015532520
7603461155641
oct131402467100
934005807463
1012013170240
115105137675
1223b322a140
131195ac6376
1481d6896c8
154a49c2cb0
hex2cc0a6e40

12013170240 has 112 divisors (see below), whose sum is σ = 38213214912. Its totient is φ = 3197515776.

The previous prime is 12013170229. The next prime is 12013170271. The reversal of 12013170240 is 4207131021.

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 15 ways as a sum of consecutive naturals, for example, 513682 + ... + 536558.

Almost surely, 212013170240 is an apocalyptic number.

12013170240 is a gapful number since it is divisible by the number (10) 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 12013170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106607456).

12013170240 is an abundant number, since it is smaller than the sum of its proper divisors (26200044672).

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

12013170240 is a wasteful number, since it uses less digits than its factorization.

12013170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23444 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 12013170240 in words is "twelve billion, thirteen million, one hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 547 960 1094 1641 2188 2735 3282 4376 5470 6564 8205 8752 10940 13128 16410 17504 21880 22877 26256 32820 35008 43760 45754 52512 65640 68631 87520 91508 105024 114385 131280 137262 175040 183016 228770 262560 274524 343155 366032 457540 525120 549048 686310 732064 915080 1098096 1372620 1464128 1830160 2196192 2745240 3660320 4392384 5490480 7320640 10980960 12513719 21961920 25027438 37541157 50054876 62568595 75082314 100109752 125137190 150164628 187705785 200219504 250274380 300329256 375411570 400439008 500548760 600658512 750823140 800878016 1001097520 1201317024 1501646280 2002195040 2402634048 3003292560 4004390080 6006585120 12013170240