Search a number
-
+
1250006000 = 24531135531
BaseRepresentation
bin100101010000001…
…1001001111110000
310020010002212212112
41022200121033300
510030000143000
6324011544452
742655606235
oct11240311760
93203085775
101250006000
11591661011
122aa75b128
1316bc82529
14bc02978c
1574b17235
hex4a8193f0

1250006000 has 80 divisors (see below), whose sum is σ = 3049813728. Its totient is φ = 495488000.

The previous prime is 1250005973. The next prime is 1250006059. The reversal of 1250006000 is 6000521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223235 + ... + 228765.

Almost surely, 21250006000 is an apocalyptic number.

1250006000 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 1250006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524906864).

1250006000 is an abundant number, since it is smaller than the sum of its proper divisors (1799807728).

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

1250006000 is a wasteful number, since it uses less digits than its factorization.

1250006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1250006000 is about 35355.4239120393. The cubic root of 1250006000 is about 1077.2190685609.

Adding to 1250006000 its reverse (6000521), we get a palindrome (1256006521).

The spelling of 1250006000 in words is "one billion, two hundred fifty million, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5531 5650 9040 11062 11300 14125 22124 22600 27655 28250 44248 45200 55310 56500 88496 110620 113000 138275 221240 226000 276550 442480 553100 625003 691375 1106200 1250006 1382750 2212400 2500012 2765500 3125015 5000024 5531000 6250030 10000048 11062000 12500060 15625075 25000120 31250150 50000240 62500300 78125375 125000600 156250750 250001200 312501500 625003000 1250006000