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672017040 = 24335421739
BaseRepresentation
bin101000000011100…
…010101010010000
31201211112000002000
4220003202222100
52334014021130
6150403354000
722440023232
oct5003425220
91654460060
10672017040
11315377392
12169082900
13a92c2526
1465372252
153dee6260
hex280e2a90

672017040 has 160 divisors (see below), whose sum is σ = 2323363200. Its totient is φ = 178536960.

The previous prime is 672017033. The next prime is 672017041. The reversal of 672017040 is 40710276.

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

It is a junction number, because it is equal to n+sod(n) for n = 672016995 and 672017013.

It is not an unprimeable number, because it can be changed into a prime (672017041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908991 + ... + 909729.

It is an arithmetic number, because the mean of its divisors is an integer number (14521020).

Almost surely, 2672017040 is an apocalyptic number.

672017040 is a gapful number since it is divisible by the number (60) 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 672017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161681600).

672017040 is an abundant number, since it is smaller than the sum of its proper divisors (1651346160).

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

672017040 is a wasteful number, since it uses less digits than its factorization.

672017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 672017040 is about 25923.2914576834. The cubic root of 672017040 is about 875.9112313878.

The spelling of 672017040 in words is "six hundred seventy-two million, seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 421 432 540 720 739 842 1080 1263 1478 1684 2105 2160 2217 2526 2956 3368 3695 3789 4210 4434 5052 5912 6315 6651 6736 7390 7578 8420 8868 10104 11085 11367 11824 12630 13302 14780 15156 16840 17736 18945 19953 20208 22170 22734 25260 26604 29560 30312 33255 33680 35472 37890 39906 44340 45468 50520 53208 56835 59120 60624 66510 75780 79812 88680 90936 99765 101040 106416 113670 133020 151560 159624 177360 181872 199530 227340 266040 303120 311119 319248 399060 454680 532080 622238 798120 909360 933357 1244476 1555595 1596240 1866714 2488952 2800071 3111190 3733428 4666785 4977904 5600142 6222380 7466856 8400213 9333570 11200284 12444760 14000355 14933712 16800426 18667140 22400568 24889520 28000710 33600852 37334280 42001065 44801136 56001420 67201704 74668560 84002130 112002840 134403408 168004260 224005680 336008520 672017040