[go: up one dir, main page]

Search a number
-
+
1272027000 = 233532914621
BaseRepresentation
bin100101111010001…
…1001011101111000
310021122112200000010
41023310121131320
510101114331000
6330115541520
743344023346
oct11364313570
93248480003
101272027000
115a3031792
122b5bba8a0
131736c27ca
14c0d1c996
1576a16d50
hex4bd19778

1272027000 has 128 divisors (see below), whose sum is σ = 4105857600. Its totient is φ = 327488000.

The previous prime is 1272026993. The next prime is 1272027013. The reversal of 1272027000 is 7202721.

It is a congruent number.

It is an unprimeable number.

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, 79690 + ... + 94310.

Almost surely, 21272027000 is an apocalyptic number.

1272027000 is a gapful number since it is divisible by the number (10) 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 1272027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052928800).

1272027000 is an abundant number, since it is smaller than the sum of its proper divisors (2833830600).

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

1272027000 is a wasteful number, since it uses less digits than its factorization.

1272027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1272027000 is about 35665.4875194494. The cubic root of 1272027000 is about 1083.5079692169.

Adding to 1272027000 its reverse (7202721), we get a palindrome (1279229721).

The spelling of 1272027000 in words is "one billion, two hundred seventy-two million, twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 14621 17400 21750 29000 29242 43500 43863 58484 73105 87000 87726 116968 146210 175452 219315 292420 350904 365525 424009 438630 584840 731050 848018 877260 1096575 1272027 1462100 1696036 1754520 1827625 2120045 2193150 2544054 2924200 3392072 3655250 4240090 4386300 5088108 5482875 6360135 7310500 8480180 8772600 10176216 10600225 10965750 12720270 14621000 16960360 21200450 21931500 25440540 31800675 42400900 43863000 50881080 53001125 63601350 84801800 106002250 127202700 159003375 212004500 254405400 318006750 424009000 636013500 1272027000