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997212580 = 2257131793061
BaseRepresentation
bin111011011100000…
…100000110100100
32120111102122111021
4323130010012210
54020241300310
6242541420524
733466111210
oct7334040644
92514378437
10997212580
1147199a631
12239b6a744
1312b7a2520
1496623940
155c8305da
hex3b7041a4

997212580 has 96 divisors (see below), whose sum is σ = 2592656640. Its totient is φ = 313735680.

The previous prime is 997212569. The next prime is 997212581. The reversal of 997212580 is 85212799.

It is not an unprimeable number, because it can be changed into a prime (997212581) 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, 324250 + ... + 327310.

It is an arithmetic number, because the mean of its divisors is an integer number (27006840).

Almost surely, 2997212580 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 997212580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296328320).

997212580 is an abundant number, since it is smaller than the sum of its proper divisors (1595444060).

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

997212580 is a wasteful number, since it uses less digits than its factorization.

997212580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 997212580 is about 31578.6728663508. The cubic root of 997212580 is about 999.0699953595.

The spelling of 997212580 in words is "nine hundred ninety-seven million, two hundred twelve thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 179 182 260 358 364 455 716 895 910 1253 1790 1820 2327 2506 3061 3580 4654 5012 6122 6265 9308 11635 12244 12530 15305 16289 21427 23270 25060 30610 32578 39793 42854 46540 61220 65156 79586 81445 85708 107135 159172 162890 198965 214270 278551 325780 397930 428540 547919 557102 795860 1095838 1114204 1392755 2191676 2739595 2785510 3835433 5479190 5571020 7122947 7670866 10958380 14245894 15341732 19177165 28491788 35614735 38354330 49860629 71229470 76708660 99721258 142458940 199442516 249303145 498606290 997212580