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2690987292 = 22337372643
BaseRepresentation
bin1010000001100101…
…0011010100011100
320221112120022121000
42200121103110130
521002343043132
61123005110300
7123454005000
oct24031232434
96845508530
102690987292
111160aa0644
12631258390
1333b67c396
141b7568700
1510b3a487c
hexa065351c

2690987292 has 96 divisors (see below), whose sum is σ = 8136128000. Its totient is φ = 768842928.

The previous prime is 2690987269. The next prime is 2690987297. The reversal of 2690987292 is 2927890962.

It is a happy number.

2690987292 is a `hidden beast` number, since 269 + 0 + 98 + 7 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690987297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723 + ... + 73365.

Almost surely, 22690987292 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 2690987292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068064000).

2690987292 is an abundant number, since it is smaller than the sum of its proper divisors (5445140708).

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

2690987292 is a wasteful number, since it uses less digits than its factorization.

2690987292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72677 (or 72655 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2690987292 is about 51874.7269101245. The cubic root of 2690987292 is about 1390.9255419955.

The spelling of 2690987292 in words is "two billion, six hundred ninety million, nine hundred eighty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044 72643 145286 217929 290572 435858 508501 653787 871716 1017002 1307574 1525503 1961361 2034004 2615148 3051006 3559507 3922722 4576509 6102012 7119014 7845444 9153018 10678521 13729527 14238028 18306036 21357042 24916549 27459054 32035563 42714084 49833098 54918108 64071126 74749647 96106689 99666196 128142252 149499294 192213378 224248941 298998588 384426756 448497882 672746823 896995764 1345493646 2690987292