Search a number
-
+
998111730 = 235711676449
BaseRepresentation
bin111011011111011…
…111100111110010
32120120010022220010
4323133133213302
54021004033410
6243012555350
733506544510
oct7337374762
92516108803
10998111730
11472454130
1223a322b56
1312ba28875
14967b94b0
155c95bc20
hex3b7df9f2

998111730 has 128 divisors (see below), whose sum is σ = 3031603200. Its totient is φ = 204272640.

The previous prime is 998111713. The next prime is 998111747. The reversal of 998111730 is 37111899.

It is an interprime number because it is at equal distance from previous prime (998111713) and next prime (998111747).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151546 + ... + 157994.

It is an arithmetic number, because the mean of its divisors is an integer number (23684400).

Almost surely, 2998111730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998111730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515801600).

998111730 is an abundant number, since it is smaller than the sum of its proper divisors (2033491470).

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

998111730 is a wasteful number, since it uses less digits than its factorization.

998111730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544.

The product of its (nonzero) digits is 13608, while the sum is 39.

The square root of 998111730 is about 31592.9063240469. The cubic root of 998111730 is about 999.3701800768.

The spelling of 998111730 in words is "nine hundred ninety-eight million, one hundred eleven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 67 70 77 105 110 134 154 165 201 210 231 330 335 385 402 462 469 670 737 770 938 1005 1155 1407 1474 2010 2211 2310 2345 2814 3685 4422 4690 5159 6449 7035 7370 10318 11055 12898 14070 15477 19347 22110 25795 30954 32245 38694 45143 51590 64490 70939 77385 90286 96735 135429 141878 154770 193470 212817 225715 270858 354695 425634 432083 451430 496573 677145 709390 864166 993146 1064085 1296249 1354290 1489719 2128170 2160415 2482865 2592498 2979438 3024581 4320830 4752913 4965730 6049162 6481245 7448595 9073743 9505826 12962490 14258739 14897190 15122905 18147486 23764565 28517478 30245810 33270391 45368715 47529130 66540782 71293695 90737430 99811173 142587390 166351955 199622346 332703910 499055865 998111730