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991333980 = 2232571360521
BaseRepresentation
bin111011000101101…
…000111001011100
32120002100222120100
4323011220321130
54012240141410
6242211421100
733365125350
oct7305507134
92502328510
10991333980
1146964498a
12237bb4790
1312a4c4870
1495933460
155c06d8c0
hex3b168e5c

991333980 has 144 divisors (see below), whose sum is σ = 3701041344. Its totient is φ = 209157120.

The previous prime is 991333927. The next prime is 991334033. The reversal of 991333980 is 89333199.

It is an interprime number because it is at equal distance from previous prime (991333927) and next prime (991334033).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13881 + ... + 46640.

It is an arithmetic number, because the mean of its divisors is an integer number (25701676).

Almost surely, 2991333980 is an apocalyptic number.

991333980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991333980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850520672).

991333980 is an abundant number, since it is smaller than the sum of its proper divisors (2709707364).

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

991333980 is a wasteful number, since it uses less digits than its factorization.

991333980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60556 (or 60551 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 991333980 is about 31485.4566427105. The cubic root of 991333980 is about 997.1029418256.

It can be divided in two parts, 991 and 333980, that added together give a triangular number (334971 = T818).

The spelling of 991333980 in words is "nine hundred ninety-one million, three hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 60521 121042 181563 242084 302605 363126 423647 544689 605210 726252 786773 847294 907815 1089378 1210420 1270941 1573546 1694588 1815630 2118235 2178756 2360319 2541882 2723445 3147092 3631260 3812823 3933865 4236470 4720638 5083764 5446890 5507411 6354705 7080957 7625646 7867730 8472940 9441276 10893780 11014822 11801595 12709410 14161914 15251292 15735460 16522233 19064115 22029644 23603190 25418820 27537055 28323828 33044466 35404785 38128230 47206380 49566699 55074110 66088932 70809570 76256460 82611165 99133398 110148220 141619140 165222330 198266796 247833495 330444660 495666990 991333980