Search a number
-
+
2153554560 = 27335177331
BaseRepresentation
bin1000000001011100…
…1010001010000000
312120002021220111000
42000113022022000
513402302221220
6553410052000
7104236624503
oct20027121200
95502256430
102153554560
11a05697463
1250127a000
1328421c151
1416602b13a
15c90e5390
hex805ca280

2153554560 has 256 divisors, whose sum is σ = 8076931200. Its totient is φ = 540426240.

The previous prime is 2153554537. The next prime is 2153554567. The reversal of 2153554560 is 654553512.

2153554560 is a `hidden beast` number, since 2 + 1 + 53 + 5 + 545 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2153554567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290095 + ... + 297425.

Almost surely, 22153554560 is an apocalyptic number.

2153554560 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 2153554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038465600).

2153554560 is an abundant number, since it is smaller than the sum of its proper divisors (5923376640).

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

2153554560 is a wasteful number, since it uses less digits than its factorization.

2153554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2153554560 is about 46406.4064542817. The cubic root of 2153554560 is about 1291.3737663625.

The spelling of 2153554560 in words is "two billion, one hundred fifty-three million, five hundred fifty-four thousand, five hundred sixty".