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2040132096 = 293449193
BaseRepresentation
bin111100110011001…
…1111001000000000
312021011212110010000
41321212133020000
513134233211341
6534235040000
7101361556662
oct17146371000
95234773100
102040132096
11957668492
1248b2a0000
13266889072
14154d44532
15be18d8b6
hex7999f200

2040132096 has 100 divisors (see below), whose sum is σ = 6089380902. Its totient is φ = 680030208.

The previous prime is 2040132077. The next prime is 2040132109. The reversal of 2040132096 is 6902310402.

It can be written as a sum of positive squares in only one way, i.e., 1684281600 + 355850496 = 41040^2 + 18864^2 .

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 9 ways as a sum of consecutive naturals, for example, 16876 + ... + 66068.

Almost surely, 22040132096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044690451).

2040132096 is an abundant number, since it is smaller than the sum of its proper divisors (4049248806).

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

2040132096 is an frugal number, since it uses more digits than its factorization.

2040132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49223 (or 49198 counting only the distinct ones).

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

The square root of 2040132096 is about 45167.8214661721. The cubic root of 2040132096 is about 1268.2925151189.

Adding to 2040132096 its reverse (6902310402), we get a palindrome (8942442498).

The spelling of 2040132096 in words is "two billion, forty million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 49193 98386 147579 196772 295158 393544 442737 590316 787088 885474 1180632 1328211 1574176 1770948 2361264 2656422 3148352 3541896 3984633 4722528 5312844 6296704 7083792 7969266 9445056 10625688 12593408 14167584 15938532 18890112 21251376 25186816 28335168 31877064 37780224 42502752 56670336 63754128 75560448 85005504 113340672 127508256 170011008 226681344 255016512 340022016 510033024 680044032 1020066048 2040132096