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673052640 = 25351328297
BaseRepresentation
bin101000000111011…
…111011111100000
31201220110121122120
4220013133133200
52334300141030
6150441504240
722451565411
oct5007373740
91656417576
10673052640
11315a14457
121694a2080
13a9595a00
1465561808
153e14d010
hex281df7e0

673052640 has 144 divisors (see below), whose sum is σ = 2296023408. Its totient is φ = 165654528.

The previous prime is 673052609. The next prime is 673052647. The reversal of 673052640 is 46250376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673052647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76972 + ... + 85268.

It is an arithmetic number, because the mean of its divisors is an integer number (15944607).

Almost surely, 2673052640 is an apocalyptic number.

673052640 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 673052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148011704).

673052640 is an abundant number, since it is smaller than the sum of its proper divisors (1622970768).

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

673052640 is a wasteful number, since it uses less digits than its factorization.

673052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 673052640 is about 25943.2580837488. The cubic root of 673052640 is about 876.3609363121.

The spelling of 673052640 in words is "six hundred seventy-three million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 8297 10140 13520 16224 16594 20280 24891 27040 33188 40560 41485 49782 66376 81120 82970 99564 107861 124455 132752 165940 199128 215722 248910 265504 323583 331880 398256 431444 497820 539305 647166 663760 796512 862888 995640 1078610 1294332 1327520 1402193 1617915 1725776 1991280 2157220 2588664 2804386 3235830 3451552 3982560 4206579 4314440 5177328 5608772 6471660 7010965 8413158 8628880 10354656 11217544 12943320 14021930 16826316 17257760 21032895 22435088 25886640 28043860 33652632 42065790 44870176 51773280 56087720 67305264 84131580 112175440 134610528 168263160 224350880 336526320 673052640