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6793000240 = 2451331474483
BaseRepresentation
bin1100101001110010…
…01111010100110000
3122112102020011111111
412110321033110300
5102403002001430
63042021323104
7330223356265
oct62471172460
918472204444
106793000240
112976520694
121396b66494
1384346a890
1448627526c
1529b57ac2a
hex194e4f530

6793000240 has 160 divisors (see below), whose sum is σ = 17934852096. Its totient is φ = 2375101440.

The previous prime is 6793000217. The next prime is 6793000303. The reversal of 6793000240 is 420003976.

It is a super-2 number, since 2×67930002402 = 92289704521280115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1513039 + ... + 1517521.

Almost surely, 26793000240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6793000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967426048).

6793000240 is an abundant number, since it is smaller than the sum of its proper divisors (11141851856).

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

6793000240 is a wasteful number, since it uses less digits than its factorization.

6793000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 6793000240 is about 82419.6593052895. The cubic root of 6793000240 is about 1893.8861874343.

The spelling of 6793000240 in words is "six billion, seven hundred ninety-three million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 47 52 62 65 80 94 104 124 130 155 188 208 235 248 260 310 376 403 470 496 520 611 620 752 806 940 1040 1222 1240 1457 1612 1880 2015 2444 2480 2914 3055 3224 3760 4030 4483 4888 5828 6110 6448 7285 8060 8966 9776 11656 12220 14570 16120 17932 18941 22415 23312 24440 29140 32240 35864 37882 44830 48880 58279 58280 71728 75764 89660 94705 116558 116560 138973 151528 179320 189410 210701 233116 277946 291395 303056 358640 378820 421402 466232 555892 582790 694865 757640 842804 932464 1053505 1111784 1165580 1389730 1515280 1685608 1806649 2107010 2223568 2331160 2739113 2779460 3371216 3613298 4214020 4662320 5478226 5558920 6531731 7226596 8428040 9033245 10956452 11117840 13063462 13695565 14453192 16856080 18066490 21912904 26126924 27391130 28906384 32658655 36132980 43825808 52253848 54782260 65317310 72265960 84912503 104507696 109564520 130634620 144531920 169825006 219129040 261269240 339650012 424562515 522538480 679300024 849125030 1358600048 1698250060 3396500120 6793000240