Search a number
-
+
2023740000 = 25325411243
BaseRepresentation
bin111100010011111…
…1101001001100000
312020001000122101100
41320213331021200
513121034140000
6532451434400
7101102335422
oct17047751140
95201018340
102023740000
119493918a7
124858b5a00
13263369bb9
14152ab8812
15bca01a00
hex789fd260

2023740000 has 180 divisors, whose sum is σ = 7192100916. Its totient is φ = 539616000.

The previous prime is 2023739911. The next prime is 2023740001. The reversal of 2023740000 is 473202.

It is a happy number.

2023740000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023740001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174379 + ... + 185621.

Almost surely, 22023740000 is an apocalyptic number.

2023740000 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 2023740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596050458).

2023740000 is an abundant number, since it is smaller than the sum of its proper divisors (5168360916).

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

2023740000 is a wasteful number, since it uses less digits than its factorization.

2023740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11279 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2023740000 is about 44985.9978215444. The cubic root of 2023740000 is about 1264.8865422362.

The spelling of 2023740000 in words is "two billion, twenty-three million, seven hundred forty thousand".