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2296872 = 2332192373
BaseRepresentation
bin1000110000110000101000
311022200201100
420300300220
51041444442
6121121400
725344264
oct10606050
94280640
102296872
111329746
12929260
136255c6
1443b0a4
1530584c
hex230c28

2296872 has 96 divisors (see below), whose sum is σ = 6926400. Its totient is φ = 684288.

The previous prime is 2296871. The next prime is 2296873. The reversal of 2296872 is 2786922.

It is an interprime number because it is at equal distance from previous prime (2296871) and next prime (2296873).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 214 + 216 + 92 + 6 + 82 + 76 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2296871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31428 + ... + 31500.

It is an arithmetic number, because the mean of its divisors is an integer number (72150).

22296872 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 2296872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463200).

2296872 is an abundant number, since it is smaller than the sum of its proper divisors (4629528).

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

2296872 is a wasteful number, since it uses less digits than its factorization.

2296872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

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

The square root of 2296872 is about 1515.5434668791. The cubic root of 2296872 is about 131.9407447540.

The spelling of 2296872 in words is "two million, two hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 73 76 92 114 138 146 152 171 184 207 219 228 276 292 342 414 437 438 456 552 584 657 684 828 874 876 1311 1314 1368 1387 1656 1679 1748 1752 2622 2628 2774 3358 3496 3933 4161 5037 5244 5256 5548 6716 7866 8322 10074 10488 11096 12483 13432 15111 15732 16644 20148 24966 30222 31464 31901 33288 40296 49932 60444 63802 95703 99864 120888 127604 191406 255208 287109 382812 574218 765624 1148436 2296872