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677746740 = 2235111099421
BaseRepresentation
bin101000011001011…
…001100000110100
31202020022002202010
4220121121200310
52342000343430
6151130244220
722536516006
oct5031314064
91666262663
10677746740
11318630180
1216ab86670
13aa54a498
1466024376
153e778cb0
hex28659834

677746740 has 96 divisors (see below), whose sum is σ = 2089422720. Its totient is φ = 162777600.

The previous prime is 677746691. The next prime is 677746753. The reversal of 677746740 is 47647776.

It is a self number, because there is not a number n which added to its sum of digits gives 677746740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67230 + ... + 76650.

It is an arithmetic number, because the mean of its divisors is an integer number (21764820).

Almost surely, 2677746740 is an apocalyptic number.

677746740 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 677746740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044711360).

677746740 is an abundant number, since it is smaller than the sum of its proper divisors (1411675980).

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

677746740 is a wasteful number, since it uses less digits than its factorization.

677746740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 677746740 is about 26033.5694824970. The cubic root of 677746740 is about 878.3935654603.

The spelling of 677746740 in words is "six hundred seventy-seven million, seven hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 4796 5995 6540 7194 9421 11990 14388 17985 18842 23980 28263 35970 37684 47105 56526 71940 94210 103631 113052 141315 188420 207262 282630 310893 414524 518155 565260 621786 1026889 1036310 1243572 1554465 2053778 2072620 3080667 3108930 4107556 5134445 6161334 6217860 10268890 11295779 12322668 15403335 20537780 22591558 30806670 33887337 45183116 56478895 61613340 67774674 112957790 135549348 169436685 225915580 338873370 677746740