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2706672 = 2431731107
BaseRepresentation
bin1010010100110011110000
312002111212010
422110303300
51143103142
6134002520
732002113
oct12246360
95074763
102706672
111589621
12aa6440
13739ca7
1450657a
15386e9c
hex294cf0

2706672 has 80 divisors (see below), whose sum is σ = 7713792. Its totient is φ = 814080.

The previous prime is 2706667. The next prime is 2706673. The reversal of 2706672 is 2766072.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25243 + ... + 25349.

22706672 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 2706672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896).

2706672 is an abundant number, since it is smaller than the sum of its proper divisors (5007120).

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

2706672 is a wasteful number, since it uses less digits than its factorization.

2706672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2706672 is about 1645.1966447814. The cubic root of 2706672 is about 139.3622694774.

The spelling of 2706672 in words is "two million, seven hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 107 124 136 186 204 214 248 272 321 372 408 428 496 527 642 744 816 856 1054 1284 1488 1581 1712 1819 2108 2568 3162 3317 3638 4216 5136 5457 6324 6634 7276 8432 9951 10914 12648 13268 14552 19902 21828 25296 26536 29104 39804 43656 53072 56389 79608 87312 112778 159216 169167 225556 338334 451112 676668 902224 1353336 2706672