Search a number
-
+
30831860980 = 22529377319681
BaseRepresentation
bin11100101101101110…
…001101110011110100
32221120201120211010001
4130231232031303310
51001120424022410
622055225441044
72141020331344
oct345556156364
987521524101
1030831860980
1112091866548
125b85640184
132ba482202b
1416c6b08d24
15c06b9633a
hex72db8dcf4

30831860980 has 96 divisors (see below), whose sum is σ = 69735687840. Its totient is φ = 11426365440.

The previous prime is 30831860963. The next prime is 30831861001. The reversal of 30831860980 is 8906813803.

It can be written as a sum of positive squares in 16 ways, for example, as 587868516 + 30243992464 = 24246^2 + 173908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30831860980.

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, 1556740 + ... + 1576420.

It is an arithmetic number, because the mean of its divisors is an integer number (726413415).

Almost surely, 230831860980 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 30831860980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34867843920).

30831860980 is an abundant number, since it is smaller than the sum of its proper divisors (38903826860).

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

30831860980 is a wasteful number, since it uses less digits than its factorization.

30831860980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19829 (or 19827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 30831860980 in words is "thirty billion, eight hundred thirty-one million, eight hundred sixty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 37 58 73 74 116 145 146 148 185 290 292 365 370 580 730 740 1073 1460 2117 2146 2701 4234 4292 5365 5402 8468 10585 10730 10804 13505 19681 21170 21460 27010 39362 42340 54020 78329 78724 98405 156658 196810 313316 391645 393620 570749 728197 783290 1141498 1436713 1456394 1566580 2282996 2853745 2873426 2912788 3640985 5707490 5746852 7183565 7281970 11414980 14367130 14563940 21117713 28734260 41664677 42235426 53158381 83329354 84470852 105588565 106316762 166658708 208323385 211177130 212633524 265791905 416646770 422354260 531583810 833293540 1063167620 1541593049 3083186098 6166372196 7707965245 15415930490 30831860980