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2300672 = 28111943
BaseRepresentation
bin1000110001101100000000
311022212221002
420301230000
51042110142
6121151132
725361333
oct10615400
94285832
102300672
111331590
1292b4a8
1362725a
1443c61a
15306a32
hex231b00

2300672 has 72 divisors (see below), whose sum is σ = 5396160. Its totient is φ = 967680.

The previous prime is 2300671. The next prime is 2300689. The reversal of 2300672 is 2760032.

It is not an unprimeable number, because it can be changed into a prime (2300671) 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 7 ways as a sum of consecutive naturals, for example, 53483 + ... + 53525.

22300672 is an apocalyptic number.

2300672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698080).

2300672 is an abundant number, since it is smaller than the sum of its proper divisors (3095488).

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

2300672 is a wasteful number, since it uses less digits than its factorization.

2300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2300672 is about 1516.7966244688. The cubic root of 2300672 is about 132.0134666396.

The spelling of 2300672 in words is "two million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 43 44 64 76 86 88 128 152 172 176 209 256 304 344 352 418 473 608 688 704 817 836 946 1216 1376 1408 1634 1672 1892 2432 2752 2816 3268 3344 3784 4864 5504 6536 6688 7568 8987 11008 13072 13376 15136 17974 26144 26752 30272 35948 52288 53504 60544 71896 104576 121088 143792 209152 287584 575168 1150336 2300672