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2040004032 = 263111396949
BaseRepresentation
bin111100110010111…
…1111110111000000
312021011121221102220
41321211333313000
513134220112112
6534232211040
7101360514423
oct17145776700
95234557386
102040004032
11957590250
1248b239a80
132668429a1
14154d0d9ba
15be16598c
hex7997fdc0

2040004032 has 112 divisors (see below), whose sum is σ = 5931408000. Its totient is φ = 613647360.

The previous prime is 2040004019. The next prime is 2040004037. The reversal of 2040004032 is 2304000402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040004037) 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, 290094 + ... + 297042.

It is an arithmetic number, because the mean of its divisors is an integer number (52959000).

Almost surely, 22040004032 is an apocalyptic number.

2040004032 is a gapful number since it is divisible by the number (22) 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 2040004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965704000).

2040004032 is an abundant number, since it is smaller than the sum of its proper divisors (3891403968).

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

2040004032 is a wasteful number, since it uses less digits than its factorization.

2040004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2040004032 is about 45166.4037975130. The cubic root of 2040004032 is about 1268.2659766394.

Adding to 2040004032 its reverse (2304000402), we get a palindrome (4344004434).

The spelling of 2040004032 in words is "two billion, forty million, four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 139 176 192 264 278 352 417 528 556 704 834 1056 1112 1529 1668 2112 2224 3058 3336 4448 4587 6116 6672 6949 8896 9174 12232 13344 13898 18348 20847 24464 26688 27796 36696 41694 48928 55592 73392 76439 83388 97856 111184 146784 152878 166776 222368 229317 293568 305756 333552 444736 458634 611512 667104 917268 965911 1223024 1334208 1834536 1931822 2446048 2897733 3669072 3863644 4892096 5795466 7338144 7727288 10625021 11590932 14676288 15454576 21250042 23181864 30909152 31875063 42500084 46363728 61818304 63750126 85000168 92727456 127500252 170000336 185454912 255000504 340000672 510001008 680001344 1020002016 2040004032