Search a number
-
+
980523120 = 243519239349
BaseRepresentation
bin111010011100011…
…001100001110000
32112100000201212010
4322130121201300
54002003214440
6241144002520
733204210663
oct7234314160
92470021763
10980523120
11463530595
12234460440
131281aabc5
149431b6da
155b135580
hex3a719870

980523120 has 160 divisors (see below), whose sum is σ = 3339072000. Its totient is φ = 236915712.

The previous prime is 980523113. The next prime is 980523133. The reversal of 980523120 is 21325089.

It is a happy number.

It is a super-2 number, since 2×9805231202 = 1922851177709068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100206 + ... + 109554.

It is an arithmetic number, because the mean of its divisors is an integer number (20869200).

Almost surely, 2980523120 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 980523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669536000).

980523120 is an abundant number, since it is smaller than the sum of its proper divisors (2358548880).

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

980523120 is a wasteful number, since it uses less digits than its factorization.

980523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 980523120 is about 31313.3057980150. The cubic root of 980523120 is about 993.4650947038.

The spelling of 980523120 in words is "nine hundred eighty million, five hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 9349 10488 13110 17480 18698 20976 26220 28047 34960 37396 46745 52440 56094 74792 93490 104880 112188 140235 149584 177631 186980 215027 224376 280470 355262 373960 430054 448752 532893 560940 645081 710524 747920 860108 888155 1065786 1075135 1121880 1290162 1421048 1720216 1776310 2131572 2150270 2243760 2580324 2664465 2842096 3225405 3440432 3552620 4085513 4263144 4300540 5160648 5328930 6450810 7105240 8171026 8526288 8601080 10321296 10657860 12256539 12901620 14210480 16342052 17202160 20427565 21315720 24513078 25803240 32684104 40855130 42631440 49026156 51606480 61282695 65368208 81710260 98052312 122565390 163420520 196104624 245130780 326841040 490261560 980523120