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2927268 = 2232314361
BaseRepresentation
bin1011001010101010100100
312111201110100
423022222210
51222133033
6142424100
733611211
oct13125244
95451410
102927268
11171a333
12b92030
137b6516
14562b08
153cc513
hex2caaa4

2927268 has 72 divisors (see below), whose sum is σ = 7943936. Its totient is φ = 907200.

The previous prime is 2927263. The next prime is 2927293. The reversal of 2927268 is 8627292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 94 + 2 + 77 + 2 + 6 + 87 .

It is not an unprimeable number, because it can be changed into a prime (2927261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47958 + ... + 48018.

22927268 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 2927268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971968).

2927268 is an abundant number, since it is smaller than the sum of its proper divisors (5016668).

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

2927268 is a wasteful number, since it uses less digits than its factorization.

2927268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2927268 is about 1710.9260650303. The cubic root of 2927268 is about 143.0498790904.

The spelling of 2927268 in words is "two million, nine hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 61 62 86 93 122 124 129 172 183 186 244 258 279 366 372 387 516 549 558 732 774 1098 1116 1333 1548 1891 2196 2623 2666 3782 3999 5246 5332 5673 7564 7869 7998 10492 11346 11997 15738 15996 17019 22692 23607 23994 31476 34038 47214 47988 68076 81313 94428 162626 243939 325252 487878 731817 975756 1463634 2927268