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670409040 = 24357419733
BaseRepresentation
bin100111111101011…
…010000101010000
31201201111022022110
4213331122011100
52333111042130
6150305105320
722420245210
oct4775320520
91651438273
10670409040
11314479264
12168628240
13a8b7b652
1465074240
153dcc9ab0
hex27f5a150

670409040 has 160 divisors (see below), whose sum is σ = 2433344256. Its totient is φ = 149483520.

The previous prime is 670409039. The next prime is 670409071. The reversal of 670409040 is 40904076.

670409040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 670408989 and 670409007.

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, 64014 + ... + 73746.

Almost surely, 2670409040 is an apocalyptic number.

670409040 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 670409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216672128).

670409040 is an abundant number, since it is smaller than the sum of its proper divisors (1762935216).

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

670409040 is a wasteful number, since it uses less digits than its factorization.

670409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 670409040 is about 25892.2583024347. The cubic root of 670409040 is about 875.2120476558.

The spelling of 670409040 in words is "six hundred seventy million, four hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9733 9840 11480 13776 17220 19466 22960 29199 34440 38932 48665 58398 68131 68880 77864 97330 116796 136262 145995 155728 194660 204393 233592 272524 291990 340655 389320 399053 408786 467184 545048 583980 681310 778640 798106 817572 1021965 1090096 1167960 1197159 1362620 1596212 1635144 1995265 2043930 2335920 2394318 2725240 2793371 3192424 3270288 3990530 4087860 4788636 5450480 5586742 5985795 6384848 7981060 8175720 8380113 9577272 11173484 11971590 13966855 15962120 16351440 16760226 19154544 22346968 23943180 27933710 31924240 33520452 41900565 44693936 47886360 55867420 67040904 83801130 95772720 111734840 134081808 167602260 223469680 335204520 670409040