Search a number
-
+
12007392560 = 2451117134371
BaseRepresentation
bin10110010111011001…
…00100010100110000
31010222211000202000222
423023230210110300
5144042343030220
65303252032212
7603361103252
oct131354442460
933884022028
1012007392560
115101950829
1223b1302668
131194852617
1481c9c3cd2
154a4230e25
hex2cbb24530

12007392560 has 40 divisors (see below), whose sum is σ = 27942388656. Its totient is φ = 4798621440.

The previous prime is 12007392557. The next prime is 12007392577. The reversal of 12007392560 is 6529370021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12007392560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22175 + ... + 156545.

Almost surely, 212007392560 is an apocalyptic number.

12007392560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007392560 is an abundant number, since it is smaller than the sum of its proper divisors (15934996096).

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

12007392560 is a wasteful number, since it uses less digits than its factorization.

12007392560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135501 (or 135495 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 12007392560 in words is "twelve billion, seven million, three hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1117 2234 4468 5585 8936 11170 17872 22340 44680 89360 134371 268742 537484 671855 1074968 1343710 2149936 2687420 5374840 10749680 150092407 300184814 600369628 750462035 1200739256 1500924070 2401478512 3001848140 6003696280 12007392560