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678967740 = 22325111392467
BaseRepresentation
bin101000011110000…
…011100110111100
31202022121010122100
4220132003212330
52342303431430
6151212345100
722553062533
oct5036034674
91668533570
10678967740
11319294570
1216b475190
13aa887179
146626131a
153e91a960
hex287839bc

678967740 has 144 divisors (see below), whose sum is σ = 2263847040. Its totient is φ = 163347840.

The previous prime is 678967727. The next prime is 678967763. The reversal of 678967740 is 47769876.

678967740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273987 + ... + 276453.

It is an arithmetic number, because the mean of its divisors is an integer number (15721160).

Almost surely, 2678967740 is an apocalyptic number.

678967740 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 678967740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131923520).

678967740 is an abundant number, since it is smaller than the sum of its proper divisors (1584879300).

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

678967740 is a wasteful number, since it uses less digits than its factorization.

678967740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 678967740 is about 26057.0094216508. The cubic root of 678967740 is about 878.9207412994.

It can be divided in two parts, 6789 and 67740, that added together give a square (74529 = 2732).

The spelling of 678967740 in words is "six hundred seventy-eight million, nine hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 139 165 180 198 220 278 330 396 417 495 556 660 695 834 990 1251 1390 1529 1668 1980 2085 2467 2502 2780 3058 4170 4587 4934 5004 6116 6255 7401 7645 8340 9174 9868 12335 12510 13761 14802 15290 18348 22203 22935 24670 25020 27137 27522 29604 30580 37005 44406 45870 49340 54274 55044 68805 74010 81411 88812 91740 108548 111015 135685 137610 148020 162822 222030 244233 271370 275220 325644 342913 407055 444060 488466 542740 685826 814110 976932 1028739 1221165 1371652 1628220 1714565 2057478 2442330 3086217 3429130 3772043 4114956 4884660 5143695 6172434 6858260 7544086 10287390 11316129 12344868 15088172 15431085 18860215 20574780 22632258 30862170 33948387 37720430 45264516 56580645 61724340 67896774 75440860 113161290 135793548 169741935 226322580 339483870 678967740