Search a number
-
+
7996923060 = 2235731219813
BaseRepresentation
bin1110111001010011…
…10101110010110100
3202122022121210010120
413130221311302310
5112334203014220
63401305451540
7402112503330
oct73451656264
922568553116
107996923060
113434066725
1216721a0bb0
139a5a06749
1455c1067c0
1531c0dda40
hex1dca75cb4

7996923060 has 144 divisors (see below), whose sum is σ = 26443605888. Its totient is φ = 1768815360.

The previous prime is 7996923017. The next prime is 7996923083. The reversal of 7996923060 is 603296997.

It is a junction number, because it is equal to n+sod(n) for n = 7996922994 and 7996923012.

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 47 ways as a sum of consecutive naturals, for example, 393714 + ... + 413526.

It is an arithmetic number, because the mean of its divisors is an integer number (183636152).

Almost surely, 27996923060 is an apocalyptic number.

7996923060 is a gapful number since it is divisible by the number (70) 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 7996923060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221802944).

7996923060 is an abundant number, since it is smaller than the sum of its proper divisors (18446682828).

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

7996923060 is a wasteful number, since it uses less digits than its factorization.

7996923060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19894 (or 19861 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 7996923060 is about 89425.5168282521. The cubic root of 7996923060 is about 1999.7435554528.

The spelling of 7996923060 in words is "seven billion, nine hundred ninety-six million, nine hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 961 1085 1302 1860 1922 2170 2604 2883 3255 3844 4340 4805 5766 6510 6727 9610 11532 13020 13454 14415 19220 19813 20181 26908 28830 33635 39626 40362 57660 59439 67270 79252 80724 99065 100905 118878 134540 138691 198130 201810 237756 277382 297195 396260 403620 416073 554764 594390 614203 693455 832146 1188780 1228406 1386910 1664292 1842609 2080365 2456812 2773820 3071015 3685218 4160730 4299421 6142030 7370436 8321460 8598842 9213045 12284060 12898263 17197684 18426090 19040293 21497105 25796526 36852180 38080586 42994210 51593052 57120879 64491315 76161172 85988420 95201465 114241758 128982630 133282051 190402930 228483516 257965260 266564102 285604395 380805860 399846153 533128204 571208790 666410255 799692306 1142417580 1332820510 1599384612 1999230765 2665641020 3998461530 7996923060