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2125499640 = 2335111610227
BaseRepresentation
bin111111010110000…
…1000110011111000
312111010111120100220
41332230020303320
513323111442030
6550524500040
7103446306645
oct17654106370
95433446326
102125499640
119a0875380
124b39aa620
1327b4785c4
14162406dcc
15c6902a10
hex7eb08cf8

2125499640 has 64 divisors (see below), whose sum is σ = 6956184960. Its totient is φ = 515272320.

The previous prime is 2125499633. The next prime is 2125499641. The reversal of 2125499640 is 469945212.

It is a junction number, because it is equal to n+sod(n) for n = 2125499592 and 2125499601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125499641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803794 + ... + 806433.

It is an arithmetic number, because the mean of its divisors is an integer number (108690390).

Almost surely, 22125499640 is an apocalyptic number.

2125499640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125499640 is an abundant number, since it is smaller than the sum of its proper divisors (4830685320).

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

2125499640 is a wasteful number, since it uses less digits than its factorization.

2125499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610252 (or 1610248 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2125499640 is about 46103.1413246429. The cubic root of 2125499640 is about 1285.7415494042.

The spelling of 2125499640 in words is "two billion, one hundred twenty-five million, four hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1610227 3220454 4830681 6440908 8051135 9661362 12881816 16102270 17712497 19322724 24153405 32204540 35424994 38645448 48306810 53137491 64409080 70849988 88562485 96613620 106274982 141699976 177124970 193227240 212549964 265687455 354249940 425099928 531374910 708499880 1062749820 2125499640