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3992420740 = 2257118929129
BaseRepresentation
bin1110110111110111…
…1000000110000100
3101022020102222122211
43231331320012010
531134024430430
61500055233204
7200636005420
oct35575700604
911266388584
103992420740
111769687880
12935078804
134b8199949
1429c33db80
1518577972a
hexedf78184

3992420740 has 96 divisors (see below), whose sum is σ = 10570694400. Its totient is φ = 1230366720.

The previous prime is 3992420711. The next prime is 3992420767. The reversal of 3992420740 is 470242993.

It is a junction number, because it is equal to n+sod(n) for n = 3992420693 and 3992420702.

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 31 ways as a sum of consecutive naturals, for example, 122496 + ... + 151624.

It is an arithmetic number, because the mean of its divisors is an integer number (110111400).

Almost surely, 23992420740 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 3992420740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285347200).

3992420740 is an abundant number, since it is smaller than the sum of its proper divisors (6578273660).

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

3992420740 is a wasteful number, since it uses less digits than its factorization.

3992420740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29245 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3992420740 is about 63185.6054809954. The cubic root of 3992420740 is about 1586.3978076055.

The spelling of 3992420740 in words is "three billion, nine hundred ninety-two million, four hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 29129 34265 58258 68530 116516 137060 145645 203903 291290 320419 407806 582580 640838 815612 1019515 1281676 1602095 2039030 2242933 2592481 3204190 4078060 4485866 5184962 6408380 8971732 10369924 11214665 12962405 18147367 22429330 25924810 28517291 36294734 44858660 51849620 57034582 72589468 90736835 114069164 142586455 181473670 199621037 285172910 362947340 399242074 570345820 798484148 998105185 1996210370 3992420740