Search a number
-
+
2143190340 = 2234517591319
BaseRepresentation
bin111111110111110…
…0111110101000100
312112100210100110000
41333233213311010
513342124042330
6552400001300
7104052550224
oct17757476504
95470710400
102143190340
119aa858695
124b9900230
13282030885
141648d0084
15c8249560
hex7fbe7d44

2143190340 has 240 divisors, whose sum is σ = 7244899200. Its totient is φ = 528380928.

The previous prime is 2143190339. The next prime is 2143190369. The reversal of 2143190340 is 430913412.

2143190340 is a `hidden beast` number, since 2 + 1 + 4 + 319 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1624201 + ... + 1625519.

It is an arithmetic number, because the mean of its divisors is an integer number (30187080).

Almost surely, 22143190340 is an apocalyptic number.

2143190340 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 2143190340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622449600).

2143190340 is an abundant number, since it is smaller than the sum of its proper divisors (5101708860).

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

2143190340 is a wasteful number, since it uses less digits than its factorization.

2143190340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2143190340 is about 46294.6037892107. The cubic root of 2143190340 is about 1289.2988076797.

The spelling of 2143190340 in words is "two billion, one hundred forty-three million, one hundred ninety thousand, three hundred forty".