Search a number
-
+
1990025316 = 2232371937741
BaseRepresentation
bin111011010011101…
…0110000001100100
312010200120202112100
41312213112001210
513033421302231
6525245052100
7100212636036
oct16647260144
95120522470
101990025316
11931354524
12476557030
13259394196
1414c41dc56
15b9a921e6
hex769d6064

1990025316 has 72 divisors (see below), whose sum is σ = 5193736184. Its totient is φ = 641986560.

The previous prime is 1990025311. The next prime is 1990025329. The reversal of 1990025316 is 6135200991.

It can be written as a sum of positive squares in 4 ways, for example, as 205807716 + 1784217600 = 14346^2 + 42240^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1990025311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253206 + ... + 260946.

Almost surely, 21990025316 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 1990025316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596868092).

1990025316 is an abundant number, since it is smaller than the sum of its proper divisors (3203710868).

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

1990025316 is a wasteful number, since it uses less digits than its factorization.

1990025316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1990025316 is about 44609.6997972414. The cubic root of 1990025316 is about 1257.8230057421.

The spelling of 1990025316 in words is "one billion, nine hundred ninety million, twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 193 222 333 386 444 579 666 772 1158 1332 1737 2316 3474 6948 7141 7741 14282 15482 21423 23223 28564 30964 42846 46446 64269 69669 85692 92892 128538 139338 257076 278676 286417 572834 859251 1145668 1494013 1718502 2577753 2988026 3437004 4482039 5155506 5976052 8964078 10311012 13446117 17928156 26892234 53784468 55278481 110556962 165835443 221113924 331670886 497506329 663341772 995012658 1990025316