Search a number
-
+
2031454880 = 25571341283
BaseRepresentation
bin111100100010101…
…1000101010100000
312020120112121012122
41321011120222200
513130023024010
6533325043412
7101225036660
oct17105305240
95216477178
102031454880
11952781134
124883b6568
13264b3b610
14153b261a0
15bd527855
hex79158aa0

2031454880 has 288 divisors, whose sum is σ = 6127373952. Its totient is φ = 619683840.

The previous prime is 2031454853. The next prime is 2031454883. The reversal of 2031454880 is 884541302.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2031454880.

It is not an unprimeable number, because it can be changed into a prime (2031454883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24475319 + ... + 24475401.

It is an arithmetic number, because the mean of its divisors is an integer number (21275604).

Almost surely, 22031454880 is an apocalyptic number.

2031454880 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 2031454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063686976).

2031454880 is an abundant number, since it is smaller than the sum of its proper divisors (4095919072).

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

2031454880 is a wasteful number, since it uses less digits than its factorization.

2031454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 2031454880 is about 45071.6638255124. The cubic root of 2031454880 is about 1266.4918330563.

The spelling of 2031454880 in words is "two billion, thirty-one million, four hundred fifty-four thousand, eight hundred eighty".