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2032143540 = 223577168147
BaseRepresentation
bin111100100100000…
…0000110010110100
312020121211120212120
41321020000302310
513130212043130
6533351515540
7101233635510
oct17110006264
95217746776
102032143540
11953101579
12488688bb0
1326501cbcb
14153c65140
15bd611910
hex79200cb4

2032143540 has 96 divisors (see below), whose sum is σ = 6594545664. Its totient is φ = 457941120.

The previous prime is 2032143539. The next prime is 2032143551. The reversal of 2032143540 is 453412302.

It is a self number, because there is not a number n which added to its sum of digits gives 2032143540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254 + ... + 63893.

It is an arithmetic number, because the mean of its divisors is an integer number (68693184).

Almost surely, 22032143540 is an apocalyptic number.

2032143540 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 2032143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297272832).

2032143540 is an abundant number, since it is smaller than the sum of its proper divisors (4562402124).

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

2032143540 is a wasteful number, since it uses less digits than its factorization.

2032143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68237 (or 68235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2032143540 is about 45079.3027896395. The cubic root of 2032143540 is about 1266.6349297989.

Adding to 2032143540 its reverse (453412302), we get a palindrome (2485555842).

The spelling of 2032143540 in words is "two billion, thirty-two million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 68147 136294 204441 272588 340735 408882 477029 681470 817764 954058 1022205 1362940 1431087 1908116 2044410 2385145 2862174 4088820 4770290 4838437 5724348 7155435 9540580 9676874 14310870 14515311 19353748 24192185 28621740 29030622 33869059 48384370 58061244 67738118 72576555 96768740 101607177 135476236 145153110 169345295 203214354 290306220 338690590 406428708 508035885 677381180 1016071770 2032143540