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672016140 = 2232531831451
BaseRepresentation
bin101000000011100…
…010011100001100
31201211111221211200
4220003202130030
52334014004030
6150403345500
722440020505
oct5003423414
91654457750
10672016140
11315376744
12169082290
13a92c1cb3
1465371bac
153dee5d60
hex280e270c

672016140 has 144 divisors (see below), whose sum is σ = 2131024896. Its totient is φ = 171216000.

The previous prime is 672016133. The next prime is 672016141. The reversal of 672016140 is 41610276.

It is not an unprimeable number, because it can be changed into a prime (672016141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462415 + ... + 463865.

It is an arithmetic number, because the mean of its divisors is an integer number (14798784).

Almost surely, 2672016140 is an apocalyptic number.

672016140 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 672016140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065512448).

672016140 is an abundant number, since it is smaller than the sum of its proper divisors (1459008756).

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

672016140 is a wasteful number, since it uses less digits than its factorization.

672016140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 672016140 is about 25923.2740987708. The cubic root of 672016140 is about 875.9108403658.

The spelling of 672016140 in words is "six hundred seventy-two million, sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 83 90 93 124 155 166 180 186 249 279 310 332 372 415 465 498 558 620 747 830 930 996 1116 1245 1395 1451 1494 1660 1860 2490 2573 2790 2902 2988 3735 4353 4980 5146 5580 5804 7255 7470 7719 8706 10292 12865 13059 14510 14940 15438 17412 21765 23157 25730 26118 29020 30876 38595 43530 44981 46314 51460 52236 65295 77190 87060 89962 92628 115785 120433 130590 134943 154380 179924 224905 231570 240866 261180 269886 361299 404829 449810 463140 481732 539772 602165 674715 722598 809658 899620 1083897 1204330 1349430 1445196 1619316 1806495 2024145 2167794 2408660 2698860 3612990 3733423 4048290 4335588 5419485 7225980 7466846 8096580 10838970 11200269 14933692 18667115 21677940 22400538 33600807 37334230 44801076 56001345 67201614 74668460 112002690 134403228 168004035 224005380 336008070 672016140