Search a number
-
+
2254672 = 24741491
BaseRepresentation
bin1000100110011101010000
311020112211101
420212131100
51034122142
6120154144
725110250
oct10463520
94215741
102254672
1112aaa72
12908954
1360c334
14429960
152e80b7
hex226750

2254672 has 40 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 940800.

The previous prime is 2254657. The next prime is 2254687. The reversal of 2254672 is 2764522.

It is an interprime number because it is at equal distance from previous prime (2254657) and next prime (2254687).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 213 + 218 + 52 + 48 + 66 + 77 + 220 .

It is a self number, because there is not a number n which added to its sum of digits gives 2254672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4347 + ... + 4837.

22254672 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 2254672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

2254672 is an abundant number, since it is smaller than the sum of its proper divisors (2870000).

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

2254672 is a wasteful number, since it uses less digits than its factorization.

2254672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2254672 is about 1501.5565257425. The cubic root of 2254672 is about 131.1277040721.

It can be divided in two parts, 2254 and 672, that added together give a triangular number (2926 = T76).

The spelling of 2254672 in words is "two million, two hundred fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 491 574 656 982 1148 1964 2296 3437 3928 4592 6874 7856 13748 20131 27496 40262 54992 80524 140917 161048 281834 322096 563668 1127336 2254672