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2007680028 = 223238387641
BaseRepresentation
bin111011110101010…
…1100010000011100
312011220210201020120
41313222230100130
513102431230103
6531115314540
7100515666354
oct16752542034
95156721216
102007680028
119403127a2
1248044ba50
1325cc35c63
141508d7b64
15bb3cd253
hex77aac41c

2007680028 has 48 divisors (see below), whose sum is σ = 4947215616. Its totient is φ = 632410240.

The previous prime is 2007680027. The next prime is 2007680029. The reversal of 2007680028 is 8200867002.

2007680028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2007680027) and next prime (2007680029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007680023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20913 + ... + 66728.

It is an arithmetic number, because the mean of its divisors is an integer number (103066992).

Almost surely, 22007680028 is an apocalyptic number.

It is an amenable number.

2007680028 is an abundant number, since it is smaller than the sum of its proper divisors (2939535588).

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

2007680028 is a wasteful number, since it uses less digits than its factorization.

2007680028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87754 (or 87752 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2007680028 is about 44807.1426002596. The cubic root of 2007680028 is about 1261.5316948412.

The spelling of 2007680028 in words is "two billion, seven million, six hundred eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 996 1909 3818 5727 7636 11454 22908 87641 175282 262923 350564 525846 1051692 2015743 4031486 6047229 7274203 8062972 12094458 14548406 21822609 24188916 29096812 43645218 87290436 167306669 334613338 501920007 669226676 1003840014 2007680028