Search a number
-
+
992297020 = 225111332053
BaseRepresentation
bin111011001001010…
…100000000111100
32120011011220121111
4323021110000330
54013012001040
6242244211404
733406246141
oct7311240074
92504156544
10992297020
1146a142490
12238399b64
1312a771000
1495b043c8
155c1addea
hex3b25403c

992297020 has 96 divisors (see below), whose sum is σ = 2463814080. Its totient is φ = 332916480.

The previous prime is 992296999. The next prime is 992297029. The reversal of 992297020 is 20792299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992297029) 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 31 ways as a sum of consecutive naturals, for example, 482314 + ... + 484366.

It is an arithmetic number, because the mean of its divisors is an integer number (25664730).

Almost surely, 2992297020 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 992297020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231907040).

992297020 is an abundant number, since it is smaller than the sum of its proper divisors (1471517060).

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

992297020 is a wasteful number, since it uses less digits than its factorization.

992297020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 992297020 is about 31500.7463403647. The cubic root of 992297020 is about 997.4257187626.

The spelling of 992297020 in words is "nine hundred ninety-two million, two hundred ninety-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2053 2197 2860 3380 3718 4106 4394 7436 8212 8788 9295 10265 10985 18590 20530 21970 22583 24167 26689 37180 41060 43940 45166 48334 53378 90332 96668 106756 112915 120835 133445 225830 241670 266890 293579 346957 451660 483340 533780 587158 693914 1174316 1387828 1467895 1734785 2935790 3469570 3816527 4510441 5871580 6939140 7633054 9020882 15266108 18041764 19082635 22552205 38165270 45104410 49614851 76330540 90208820 99229702 198459404 248074255 496148510 992297020