Search a number
-
+
2000240088 = 2337111082381
BaseRepresentation
bin111011100111001…
…0011110111011000
312011101210201120020
41313032103313120
513044030140323
6530252030440
7100365521520
oct16716236730
95141721506
102000240088
119370a0a90
12479a62420
1325b52c722
1414d91c680
15ba90dae3
hex77393dd8

2000240088 has 64 divisors (see below), whose sum is σ = 6234520320. Its totient is φ = 519542400.

The previous prime is 2000240071. The next prime is 2000240089. The reversal of 2000240088 is 8800420002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000240089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539343 + ... + 543038.

It is an arithmetic number, because the mean of its divisors is an integer number (97414380).

Almost surely, 22000240088 is an apocalyptic number.

2000240088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2000240088 is an abundant number, since it is smaller than the sum of its proper divisors (4234280232).

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

2000240088 is a wasteful number, since it uses less digits than its factorization.

2000240088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082408 (or 1082404 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2000240088 is about 44724.0437348860. The cubic root of 2000240088 is about 1259.9714631985.

The spelling of 2000240088 in words is "two billion, two hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1082381 2164762 3247143 4329524 6494286 7576667 8659048 11906191 12988572 15153334 22730001 23812382 25977144 30306668 35718573 45460002 47624764 60613336 71437146 83343337 90920004 95249528 142874292 166686674 181840008 250030011 285748584 333373348 500060022 666746696 1000120044 2000240088