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2187040968 = 233274339367
BaseRepresentation
bin1000001001011011…
…1001100011001000
312122102022012012100
42002112321203020
513434340302333
61001003513400
7105124353510
oct20226714310
95572265170
102187040968
11a22589282
12510528860
1328b144ca8
1416a666840
15cc00c213
hex825b98c8

2187040968 has 48 divisors (see below), whose sum is σ = 6769414080. Its totient is φ = 624868704.

The previous prime is 2187040967. The next prime is 2187040981. The reversal of 2187040968 is 8690407812.

2187040968 is a `hidden beast` number, since 2 + 187 + 0 + 409 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (2187040967) 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 11 ways as a sum of consecutive naturals, for example, 2169180 + ... + 2170187.

It is an arithmetic number, because the mean of its divisors is an integer number (141029460).

Almost surely, 22187040968 is an apocalyptic number.

2187040968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2187040968 is an abundant number, since it is smaller than the sum of its proper divisors (4582373112).

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

2187040968 is a wasteful number, since it uses less digits than its factorization.

2187040968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339386 (or 4339379 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2187040968 is about 46765.8098187126. The cubic root of 2187040968 is about 1298.0327183125.

The spelling of 2187040968 in words is "two billion, one hundred eighty-seven million, forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4339367 8678734 13018101 17357468 26036202 30375569 34714936 39054303 52072404 60751138 78108606 91126707 104144808 121502276 156217212 182253414 243004552 273380121 312434424 364506828 546760242 729013656 1093520484 2187040968