Search a number
-
+
67322080 = 2557231277
BaseRepresentation
bin1000000001101…
…00000011100000
311200200022112101
410000310003200
5114213301310
610402540144
71445141200
oct400640340
9150608471
1067322080
1135002091
121a667654
1310c41967
148d26400
155d9c43a
hex40340e0

67322080 has 144 divisors (see below), whose sum is σ = 191673216. Its totient is φ = 22256640.

The previous prime is 67322077. The next prime is 67322083. The reversal of 67322080 is 8022376.

It is an interprime number because it is at equal distance from previous prime (67322077) and next prime (67322083).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67322083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242902 + ... + 243178.

It is an arithmetic number, because the mean of its divisors is an integer number (1331064).

Almost surely, 267322080 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 67322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95836608).

67322080 is an abundant number, since it is smaller than the sum of its proper divisors (124351136).

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

67322080 is a wasteful number, since it uses less digits than its factorization.

67322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 67322080 is about 8205.0033516142. The cubic root of 67322080 is about 406.8045875764.

The spelling of 67322080 in words is "sixty-seven million, three hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 277 280 310 392 434 490 496 554 560 620 784 868 980 992 1085 1108 1120 1240 1385 1519 1568 1736 1939 1960 2170 2216 2480 2770 3038 3472 3878 3920 4340 4432 4960 5540 6076 6944 7595 7756 7840 8587 8680 8864 9695 11080 12152 13573 15190 15512 17174 17360 19390 22160 24304 27146 30380 31024 34348 34720 38780 42935 44320 48608 54292 60109 60760 62048 67865 68696 77560 85870 108584 120218 121520 135730 137392 155120 171740 217168 240436 243040 271460 274784 300545 310240 343480 420763 434336 480872 542920 601090 686960 841526 961744 1085840 1202180 1373920 1683052 1923488 2103815 2171680 2404360 3366104 4207630 4808720 6732208 8415260 9617440 13464416 16830520 33661040 67322080