Search a number
-
+
997164920 = 2351710114519
BaseRepresentation
bin111011011011111…
…000011101111000
32120111100020010002
4323123320131320
54020233234140
6242540412132
733465522233
oct7333703570
92514306102
10997164920
11471967844
12239b47048
1312b78691b
149661041a
155c821415
hex3b6f8778

997164920 has 64 divisors (see below), whose sum is σ = 2399284800. Its totient is φ = 371660800.

The previous prime is 997164901. The next prime is 997164929. The reversal of 997164920 is 29461799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997164929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61421 + ... + 75939.

It is an arithmetic number, because the mean of its divisors is an integer number (37488825).

Almost surely, 2997164920 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 997164920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199642400).

997164920 is an abundant number, since it is smaller than the sum of its proper divisors (1402119880).

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

997164920 is a wasteful number, since it uses less digits than its factorization.

997164920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14644 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 997164920 is about 31577.9182341078. The cubic root of 997164920 is about 999.0540788486.

The spelling of 997164920 in words is "nine hundred ninety-seven million, one hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 14519 17170 29038 34340 58076 68680 72595 116152 145190 246823 290380 493646 580760 987292 1234115 1466419 1974584 2468230 2932838 4936460 5865676 7332095 9872920 11731352 14664190 24929123 29328380 49858246 58656760 99716492 124645615 199432984 249291230 498582460 997164920