Search a number
-
+
2152665360 = 2432529131787
BaseRepresentation
bin1000000001001111…
…0001000100010000
312120000121201201200
42000103301010100
513402040242420
6553335031200
7104226232206
oct20023610420
95500551650
102152665360
11a0513a38a
12500b0b500
13283c9a4b1
14165c79076
15c8ebbb90
hex804f1110

2152665360 has 240 divisors, whose sum is σ = 7545320640. Its totient is φ = 549319680.

The previous prime is 2152665337. The next prime is 2152665371. The reversal of 2152665360 is 635662512.

It is a happy number.

2152665360 is a `hidden beast` number, since 21 + 526 + 6 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734887 + ... + 2735673.

It is an arithmetic number, because the mean of its divisors is an integer number (31438836).

Almost surely, 22152665360 is an apocalyptic number.

2152665360 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 2152665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772660320).

2152665360 is an abundant number, since it is smaller than the sum of its proper divisors (5392655280).

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

2152665360 is a wasteful number, since it uses less digits than its factorization.

2152665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2152665360 is about 46396.8248913651. The cubic root of 2152665360 is about 1291.1960063539.

The spelling of 2152665360 in words is "two billion, one hundred fifty-two million, six hundred sixty-five thousand, three hundred sixty".