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2693691 = 3271113223
BaseRepresentation
bin1010010001101000111011
312001212001100
422101220323
51142144231
6133422443
731616220
oct12215073
95055040
102693691
11157a8a0
12a9aa23
13734100
14501947
153831e6
hex291a3b

2693691 has 72 divisors (see below), whose sum is σ = 5481216. Its totient is φ = 1235520.

The previous prime is 2693671. The next prime is 2693707. The reversal of 2693691 is 1963962.

2693691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2693691 - 210 = 2692667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2693651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117106 + ... + 117128.

It is an arithmetic number, because the mean of its divisors is an integer number (76128).

22693691 is an apocalyptic number.

2693691 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2693691 is an abundant number, since it is smaller than the sum of its proper divisors (2787525).

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

2693691 is a wasteful number, since it uses less digits than its factorization.

2693691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2693691 is about 1641.2467821751. The cubic root of 2693691 is about 139.1391219624.

The spelling of 2693691 in words is "two million, six hundred ninety-three thousand, six hundred ninety-one".

Divisors: 1 3 7 9 11 13 21 23 33 39 63 69 77 91 99 117 143 161 169 207 231 253 273 299 429 483 507 693 759 819 897 1001 1183 1287 1449 1521 1771 1859 2093 2277 2691 3003 3289 3549 3887 5313 5577 6279 9009 9867 10647 11661 13013 15939 16731 18837 23023 27209 29601 34983 39039 42757 69069 81627 117117 128271 207207 244881 299299 384813 897897 2693691