Search a number
-
+
11960089920 = 263254152809
BaseRepresentation
bin10110010001110000…
…00111110101000000
31010212112000112000100
423020320013311000
5143443240334140
65254442122400
7602245041552
oct131070076500
933775015010
1011960089920
115088182639
1223994b0400
131187accbac
148165cd4d2
1549eeda530
hex2c8e07d40

11960089920 has 84 divisors (see below), whose sum is σ = 41137735860. Its totient is φ = 3189356544.

The previous prime is 11960089913. The next prime is 11960089949. The reversal of 11960089920 is 2998006911.

11960089920 is a `hidden beast` number, since 1 + 19 + 600 + 8 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2734871616 + 9225218304 = 52296^2 + 96048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2073525 + ... + 2079284.

Almost surely, 211960089920 is an apocalyptic number.

11960089920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11960089920 is an abundant number, since it is smaller than the sum of its proper divisors (29177645940).

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

11960089920 is a wasteful number, since it uses less digits than its factorization.

11960089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152832 (or 4152819 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11960089920 in words is "eleven billion, nine hundred sixty million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4152809 8305618 12458427 16611236 20764045 24916854 33222472 37375281 41528090 49833708 62292135 66444944 74750562 83056180 99667416 124584270 132889888 149501124 166112360 186876405 199334832 249168540 265779776 299002248 332224720 373752810 398669664 498337080 598004496 664449440 747505620 797339328 996674160 1196008992 1328898880 1495011240 1993348320 2392017984 2990022480 3986696640 5980044960 11960089920