Search a number
-
+
6769264040 = 2357113077159
BaseRepresentation
bin1100100110111101…
…01100010110101000
3122110202120020112222
412103132230112220
5102330412422130
63035412453212
7326514536450
oct62336542650
918422506488
106769264040
1129640892a0
12138b01a208
1383b5799a6
14483056d60
1529943cce5
hex1937ac5a8

6769264040 has 128 divisors (see below), whose sum is σ = 19053619200. Its totient is φ = 2102734080.

The previous prime is 6769264031. The next prime is 6769264049. The reversal of 6769264040 is 404629676.

It is an interprime number because it is at equal distance from previous prime (6769264031) and next prime (6769264049).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6769263982 and 6769264000.

It is not an unprimeable number, because it can be changed into a prime (6769264049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941981 + ... + 949139.

It is an arithmetic number, because the mean of its divisors is an integer number (148856400).

Almost surely, 26769264040 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 6769264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526809600).

6769264040 is an abundant number, since it is smaller than the sum of its proper divisors (12284355160).

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

6769264040 is a wasteful number, since it uses less digits than its factorization.

6769264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 6769264040 is about 82275.5373121318. The cubic root of 6769264040 is about 1891.6777316290.

The spelling of 6769264040 in words is "six billion, seven hundred sixty-nine million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 307 308 385 440 614 616 770 1228 1535 1540 2149 2456 3070 3080 3377 4298 6140 6754 7159 8596 10745 12280 13508 14318 16885 17192 21490 23639 27016 28636 33770 35795 42980 47278 50113 57272 67540 71590 78749 85960 94556 100226 118195 135080 143180 157498 189112 200452 236390 250565 286360 314996 393745 400904 472780 501130 551243 629992 787490 945560 1002260 1102486 1574980 2004520 2197813 2204972 2756215 3149960 4395626 4409944 5512430 8791252 10989065 11024860 15384691 17582504 21978130 22049720 24175943 30769382 43956260 48351886 61538764 76923455 87912520 96703772 120879715 123077528 153846910 169231601 193407544 241759430 307693820 338463202 483518860 615387640 676926404 846158005 967037720 1353852808 1692316010 3384632020 6769264040