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1000890396 = 2232115942839
BaseRepresentation
bin111011101010000…
…110000000011100
32120202100111111200
4323222012000130
54022211443041
6243152315500
733542266542
oct7352060034
92522314450
101000890396
11473a81850
1223b242b90
1312c48c54c
1496cddd92
155cd0a1b6
hex3ba8601c

1000890396 has 72 divisors (see below), whose sum is σ = 2806876800. Its totient is φ = 298152480.

The previous prime is 1000890391. The next prime is 1000890413. The reversal of 1000890396 is 6930980001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1000890396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000890391) 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, 1945 + ... + 44783.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 21000890396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000890396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

1000890396 is an abundant number, since it is smaller than the sum of its proper divisors (1805986404).

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

1000890396 is a wasteful number, since it uses less digits than its factorization.

1000890396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42919 (or 42914 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1000890396 is about 31636.8518661386. The cubic root of 1000890396 is about 1000.2967106208.

The spelling of 1000890396 in words is "one billion, eight hundred ninety thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 5841 7788 11682 23364 42839 85678 128517 171356 257034 385551 471229 514068 771102 942458 1413687 1542204 1884916 2527501 2827374 4241061 5055002 5654748 7582503 8482122 10110004 15165006 16964244 22747509 27802511 30330012 45495018 55605022 83407533 90990036 111210044 166815066 250222599 333630132 500445198 1000890396