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1981962150 = 235275213623
BaseRepresentation
bin111011000100010…
…0101011110100110
312010010102002221120
41312020211132212
513024340242100
6524400154410
7100054254210
oct16610453646
95103362846
101981962150
11927847553
12473908a06
1325780008c
1414b3215b0
15b8eed0a0
hex762257a6

1981962150 has 96 divisors (see below), whose sum is σ = 5629782528. Its totient is φ = 452025600.

The previous prime is 1981962139. The next prime is 1981962173. The reversal of 1981962150 is 512691891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545239 + ... + 548861.

It is an arithmetic number, because the mean of its divisors is an integer number (58643568).

Almost surely, 21981962150 is an apocalyptic number.

1981962150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981962150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814891264).

1981962150 is an abundant number, since it is smaller than the sum of its proper divisors (3647820378).

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

1981962150 is a wasteful number, since it uses less digits than its factorization.

1981962150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The square root of 1981962150 is about 44519.2334839674. The cubic root of 1981962150 is about 1256.1218943154.

The spelling of 1981962150 in words is "one billion, nine hundred eighty-one million, nine hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 521 525 1042 1050 1563 2605 3126 3623 3647 5210 7246 7294 7815 10869 10941 13025 15630 18115 18235 21738 21882 25361 26050 36230 36470 39075 50722 54345 54705 76083 78150 90575 91175 108690 109410 126805 152166 181150 182350 253610 271725 273525 380415 543450 547050 634025 760830 1268050 1887583 1902075 3775166 3804150 5662749 9437915 11325498 13213081 18875830 26426162 28313745 39639243 47189575 56627490 66065405 79278486 94379150 132130810 141568725 198196215 283137450 330327025 396392430 660654050 990981075 1981962150