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861312990 = 2351731157347
BaseRepresentation
bin110011010101101…
…001011111011110
32020000201020022010
4303111221133132
53230444003430
6221244532050
730226016406
oct6325513736
92200636263
10861312990
1140220921a
12200551026
1310959c675
1482569806
1550938cb0
hex335697de

861312990 has 128 divisors (see below), whose sum is σ = 2280296448. Its totient is φ = 207267840.

The previous prime is 861312967. The next prime is 861313009. The reversal of 861312990 is 99213168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2481997 + ... + 2482343.

It is an arithmetic number, because the mean of its divisors is an integer number (17814816).

Almost surely, 2861312990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861312990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140148224).

861312990 is an abundant number, since it is smaller than the sum of its proper divisors (1418983458).

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

861312990 is a wasteful number, since it uses less digits than its factorization.

861312990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 861312990 is about 29348.1343529704. The cubic root of 861312990 is about 951.4522534342.

The spelling of 861312990 in words is "eight hundred sixty-one million, three hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 157 170 186 255 310 314 347 465 471 510 527 694 785 930 942 1041 1054 1570 1581 1735 2082 2355 2635 2669 3162 3470 4710 4867 5205 5270 5338 5899 7905 8007 9734 10410 10757 11798 13345 14601 15810 16014 17697 21514 24335 26690 29202 29495 32271 35394 40035 48670 53785 54479 58990 64542 73005 80070 82739 88485 107570 108958 146010 161355 163437 165478 176970 182869 248217 272395 322710 326874 365738 413695 496434 544790 548607 817185 827390 914345 926143 1097214 1241085 1634370 1688849 1828690 1852286 2482170 2743035 2778429 3377698 4630715 5066547 5486070 5556858 8444245 9261430 10133094 13892145 16888490 25332735 27784290 28710433 50665470 57420866 86131299 143552165 172262598 287104330 430656495 861312990