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678693720 = 233517443751
BaseRepresentation
bin101000011101000…
…000101101011000
31202022002012202110
4220131000231120
52342221144340
6151202432320
722550541615
oct5035005530
91668065673
10678693720
11319117701
1216b3626a0
13aa7bc523
14661cd50c
153e8b4680
hex28740b58

678693720 has 128 divisors (see below), whose sum is σ = 2163594240. Its totient is φ = 169728000.

The previous prime is 678693667. The next prime is 678693721. The reversal of 678693720 is 27396876.

It is a self number, because there is not a number n which added to its sum of digits gives 678693720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678693721) 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, 903345 + ... + 904095.

It is an arithmetic number, because the mean of its divisors is an integer number (16903080).

Almost surely, 2678693720 is an apocalyptic number.

678693720 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 678693720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081797120).

678693720 is an abundant number, since it is smaller than the sum of its proper divisors (1484900520).

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

678693720 is a wasteful number, since it uses less digits than its factorization.

678693720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 678693720 is about 26051.7508048883. The cubic root of 678693720 is about 878.8024861627.

The spelling of 678693720 in words is "six hundred seventy-eight million, six hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 443 510 680 751 886 1020 1329 1502 1772 2040 2215 2253 2658 3004 3544 3755 4430 4506 5316 6008 6645 7510 7531 8860 9012 10632 11265 12767 13290 15020 15062 17720 18024 22530 22593 25534 26580 30040 30124 37655 38301 45060 45186 51068 53160 60248 63835 75310 76602 90120 90372 102136 112965 127670 150620 153204 180744 191505 225930 255340 301240 306408 332693 383010 451860 510680 665386 766020 903720 998079 1330772 1532040 1663465 1996158 2661544 3326930 3992316 4990395 5655781 6653860 7984632 9980790 11311562 13307720 16967343 19961580 22623124 28278905 33934686 39923160 45246248 56557810 67869372 84836715 113115620 135738744 169673430 226231240 339346860 678693720