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672320 = 26511191
BaseRepresentation
bin10100100001001000000
31021011020202
42210021000
5133003240
622224332
75500055
oct2441100
91234222
10672320
1141a140
122850a8
131a702c
1413702c
15d4315
hexa4240

672320 has 56 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 243200.

The previous prime is 672317. The next prime is 672323. The reversal of 672320 is 23276.

672320 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (672317) and next prime (672323).

It is a super-3 number, since 3×6723203 = 911694525333504000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 672292 and 672301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425 + ... + 3615.

2672320 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 672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

672320 is an abundant number, since it is smaller than the sum of its proper divisors (1083328).

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

672320 is a wasteful number, since it uses less digits than its factorization.

672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

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

The square root of 672320 is about 819.9512180612. The cubic root of 672320 is about 87.6042838268.

Adding to 672320 its reverse (23276), we get a palindrome (695596).

The spelling of 672320 in words is "six hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 191 220 320 352 382 440 704 764 880 955 1528 1760 1910 2101 3056 3520 3820 4202 6112 7640 8404 10505 12224 15280 16808 21010 30560 33616 42020 61120 67232 84040 134464 168080 336160 672320