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8725320 = 233452693
BaseRepresentation
bin100001010010…
…001101001000
3121102021220000
4201102031020
54213202240
6511003000
7134110152
oct41221510
917367800
108725320
114a1a50a
122b09460
131a66616
141231ad2
15b75430
hex852348

8725320 has 80 divisors (see below), whose sum is σ = 29337660. Its totient is φ = 2325888.

The previous prime is 8725319. The next prime is 8725357. The reversal of 8725320 is 235278.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 116964 = 2934^2 + 342^2 .

It is a super-2 number, since 2×87253202 = 152262418204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1894 + ... + 4586.

Almost surely, 28725320 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 8725320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668830).

8725320 is an abundant number, since it is smaller than the sum of its proper divisors (20612340).

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

8725320 is a wasteful number, since it uses less digits than its factorization.

8725320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8725320 is about 2953.8652643613. The cubic root of 8725320 is about 205.8703428929.

It can be divided in two parts, 8725 and 320, that added together give a triangular number (9045 = T134).

The spelling of 8725320 in words is "eight million, seven hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2693 3240 5386 8079 10772 13465 16158 21544 24237 26930 32316 40395 48474 53860 64632 72711 80790 96948 107720 121185 145422 161580 193896 218133 242370 290844 323160 363555 436266 484740 581688 727110 872532 969480 1090665 1454220 1745064 2181330 2908440 4362660 8725320