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4003120896 = 28326319819
BaseRepresentation
bin1110111010011010…
…1100011100000000
3101022222120121111220
43232212230130000
531144244332041
61501120435040
7201125652255
oct35646543400
911288517456
104003120896
111774725a85
12938778a80
134ba4750b8
1429d92742c
1518668ed66
hexee9ac700

4003120896 has 72 divisors (see below), whose sum is σ = 10695189120. Its totient is φ = 1329232896.

The previous prime is 4003120843. The next prime is 4003120903. The reversal of 4003120896 is 6980213004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192075 + ... + 211893.

Almost surely, 24003120896 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 4003120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347594560).

4003120896 is an abundant number, since it is smaller than the sum of its proper divisors (6692068224).

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

4003120896 is a wasteful number, since it uses less digits than its factorization.

4003120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20087 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4003120896 is about 63270.2212419081. The cubic root of 4003120896 is about 1587.8137874442.

The spelling of 4003120896 in words is "four billion, three million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 526 768 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 19819 25248 33664 39638 50496 59457 67328 79276 100992 118914 158552 201984 237828 317104 475656 634208 951312 1268416 1902624 2536832 3805248 5073664 5212397 7610496 10424794 15220992 15637191 20849588 31274382 41699176 62548764 83398352 125097528 166796704 250195056 333593408 500390112 667186816 1000780224 1334373632 2001560448 4003120896