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1382250900 = 2235237912157
BaseRepresentation
bin101001001100011…
…0111100110010100
310120022221121202210
41102120313212110
510312324012100
6345054233420
746152640002
oct12230674624
93508847683
101382250900
1164a276618
12326ab5870
131904a5a54
14d1811a72
158153ac50
hex52637994

1382250900 has 72 divisors (see below), whose sum is σ = 4010194720. Its totient is φ = 367597440.

The previous prime is 1382250899. The next prime is 1382250907. The reversal of 1382250900 is 90522831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382250907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107622 + ... + 119778.

Almost surely, 21382250900 is an apocalyptic number.

1382250900 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 1382250900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005097360).

1382250900 is an abundant number, since it is smaller than the sum of its proper divisors (2627943820).

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

1382250900 is a wasteful number, since it uses less digits than its factorization.

1382250900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1382250900 is about 37178.6349937703. The cubic root of 1382250900 is about 1113.9412688068.

The spelling of 1382250900 in words is "one billion, three hundred eighty-two million, two hundred fifty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 379 758 1137 1516 1895 2274 3790 4548 5685 7580 9475 11370 12157 18950 22740 24314 28425 36471 37900 48628 56850 60785 72942 113700 121570 145884 182355 243140 303925 364710 607850 729420 911775 1215700 1823550 3647100 4607503 9215006 13822509 18430012 23037515 27645018 46075030 55290036 69112545 92150060 115187575 138225090 230375150 276450180 345562725 460750300 691125450 1382250900