Search a number
-
+
1980831900 = 2235217936887
BaseRepresentation
bin111011000010001…
…0001100010011100
312010001021200112110
41312010101202130
513024043110100
6524320034020
7100041536055
oct16604214234
95101250473
101980831900
11927145363
12473462910
132574c57a8
1414b10972c
15b8d78250
hex7611189c

1980831900 has 72 divisors (see below), whose sum is σ = 5763381120. Its totient is φ = 525256640.

The previous prime is 1980831887. The next prime is 1980831901. The reversal of 1980831900 is 91380891.

It is a happy number.

It is a super-2 number, since 2×19808319002 = 7847390032115220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980831901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35257 + ... + 72143.

It is an arithmetic number, because the mean of its divisors is an integer number (80046960).

Almost surely, 21980831900 is an apocalyptic number.

1980831900 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 1980831900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881690560).

1980831900 is an abundant number, since it is smaller than the sum of its proper divisors (3782549220).

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

1980831900 is a wasteful number, since it uses less digits than its factorization.

1980831900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37083 (or 37076 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1980831900 is about 44506.5377220021. The cubic root of 1980831900 is about 1255.8830734526.

The spelling of 1980831900 in words is "one billion, nine hundred eighty million, eight hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 1074 1790 2148 2685 3580 4475 5370 8950 10740 13425 17900 26850 36887 53700 73774 110661 147548 184435 221322 368870 442644 553305 737740 922175 1106610 1844350 2213220 2766525 3688700 5533050 6602773 11066100 13205546 19808319 26411092 33013865 39616638 66027730 79233276 99041595 132055460 165069325 198083190 330138650 396166380 495207975 660277300 990415950 1980831900