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1990436328 = 23357871301
BaseRepresentation
bin111011010100011…
…1010010111101000
312010201100122100000
41312220322113220
513034022430303
6525301543000
7100216300236
oct16650722750
95121318300
101990436328
11931605301
12476714a60
132594a929a
1414c4c9956
15b9b23da3
hex76a3a5e8

1990436328 has 96 divisors (see below), whose sum is σ = 5601828960. Its totient is φ = 662126400.

The previous prime is 1990436321. The next prime is 1990436477. The reversal of 1990436328 is 8236340991.

It is a happy number.

1990436328 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 3 + 632 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1990436321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1529278 + ... + 1530578.

It is an arithmetic number, because the mean of its divisors is an integer number (58352385).

Almost surely, 21990436328 is an apocalyptic number.

1990436328 is a gapful number since it is divisible by the number (18) 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 1990436328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800914480).

1990436328 is an abundant number, since it is smaller than the sum of its proper divisors (3611392632).

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

1990436328 is a wasteful number, since it uses less digits than its factorization.

1990436328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1990436328 is about 44614.3063153514. The cubic root of 1990436328 is about 1257.9095950528.

The spelling of 1990436328 in words is "one billion, nine hundred ninety million, four hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 787 972 1301 1574 1944 2361 2602 3148 3903 4722 5204 6296 7083 7806 9444 10408 11709 14166 15612 18888 21249 23418 28332 31224 35127 42498 46836 56664 63747 70254 84996 93672 105381 127494 140508 169992 191241 210762 254988 281016 316143 382482 421524 509976 632286 764964 843048 1023887 1264572 1529928 2047774 2529144 3071661 4095548 6143322 8191096 9214983 12286644 18429966 24573288 27644949 36859932 55289898 73719864 82934847 110579796 165869694 221159592 248804541 331739388 497609082 663478776 995218164 1990436328