Search a number
-
+
1990173240 = 2334511192939
BaseRepresentation
bin111011010011111…
…1010001000111000
312010200212021110000
41312213322020320
513033441020430
6525252153000
7100214123226
oct16647721070
95120767400
101990173240
11931445680
12476608760
13259416603
1414c45bb16
15b9ac0e60
hex769fa238

1990173240 has 320 divisors, whose sum is σ = 7683984000. Its totient is φ = 456917760.

The previous prime is 1990173209. The next prime is 1990173287. The reversal of 1990173240 is 423710991.

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

It is a junction number, because it is equal to n+sod(n) for n = 1990173195 and 1990173204.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 675691 + ... + 678629.

It is an arithmetic number, because the mean of its divisors is an integer number (24012450).

Almost surely, 21990173240 is an apocalyptic number.

1990173240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1990173240 is the 28215-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990173240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992000).

1990173240 is an abundant number, since it is smaller than the sum of its proper divisors (5693810760).

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

1990173240 is a wasteful number, since it uses less digits than its factorization.

1990173240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1990173240 is about 44611.3577466546. The cubic root of 1990173240 is about 1257.8541707728.

The spelling of 1990173240 in words is "one billion, nine hundred ninety million, one hundred seventy-three thousand, two hundred forty".