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992721990 = 2351331157523
BaseRepresentation
bin111011001010111…
…011110001000110
32120011222111120010
4323022323301012
54013114100430
6242301251050
733412666131
oct7312736106
92504874503
10992721990
1146a4027a7
12238563a86
1312a88c580
1495bb5218
155c244cb0
hex3b2bbc46

992721990 has 128 divisors (see below), whose sum is σ = 2670538752. Its totient is φ = 234524160.

The previous prime is 992721973. The next prime is 992722001. The reversal of 992721990 is 99127299.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1897869 + ... + 1898391.

It is an arithmetic number, because the mean of its divisors is an integer number (20863584).

Almost surely, 2992721990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992721990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335269376).

992721990 is an abundant number, since it is smaller than the sum of its proper divisors (1677816762).

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

992721990 is a wasteful number, since it uses less digits than its factorization.

992721990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 992721990 is about 31507.4910140430. The cubic root of 992721990 is about 997.5680872614.

The spelling of 992721990 in words is "nine hundred ninety-two million, seven hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 157 186 195 310 314 390 403 465 471 523 785 806 930 942 1046 1209 1569 1570 2015 2041 2355 2418 2615 3138 4030 4082 4710 4867 5230 6045 6123 6799 7845 9734 10205 12090 12246 13598 14601 15690 16213 20397 20410 24335 29202 30615 32426 33995 40794 48639 48670 61230 63271 67990 73005 81065 82111 97278 101985 126542 146010 162130 164222 189813 203970 210769 243195 246333 316355 379626 410555 421538 486390 492666 632307 632710 821110 949065 1053845 1067443 1231665 1264614 1898130 2107690 2134886 2463330 2545441 3161535 3202329 5090882 5337215 6323070 6404658 7636323 10674430 12727205 15272646 16011645 25454410 32023290 33090733 38181615 66181466 76363230 99272199 165453665 198544398 330907330 496360995 992721990