Search a number
-
+
2992830120 = 233457131959
BaseRepresentation
bin1011001001100010…
…1111011010101000
321201120112112010000
42302120233122220
522112131030440
61212550423000
7134110431150
oct26230573250
97646475100
102992830120
1112a6413625
126b6361a60
13389073bc7
1420569b760
15127b29730
hexb262f6a8

2992830120 has 160 divisors (see below), whose sum is σ = 11496355200. Its totient is φ = 684070272.

The previous prime is 2992830089. The next prime is 2992830133. The reversal of 2992830120 is 210382992.

2992830120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43300 + ... + 88659.

It is an arithmetic number, because the mean of its divisors is an integer number (71852220).

Almost surely, 22992830120 is an apocalyptic number.

2992830120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2992830120 is an abundant number, since it is smaller than the sum of its proper divisors (8503525080).

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

2992830120 is a wasteful number, since it uses less digits than its factorization.

2992830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131989 (or 131976 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2992830120 is about 54706.7648467719. The cubic root of 2992830120 is about 1441.0996808293.

The spelling of 2992830120 in words is "two billion, nine hundred ninety-two million, eight hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 131959 263918 395877 527836 659795 791754 923713 1055672 1187631 1319590 1583508 1847426 1979385 2375262 2639180 2771139 3167016 3562893 3694852 3958770 4618565 4750524 5278360 5542278 5938155 7125786 7389704 7917540 8313417 9237130 9501048 10688679 11084556 11876310 13855695 14251572 15835080 16626834 17814465 18474260 21377358 22169112 23752620 24940251 27711390 28503144 33253668 35628930 36948520 41567085 42754716 47505240 49880502 53443395 55422780 66507336 71257860 74820753 83134170 85509432 99761004 106886790 110845560 124701255 142515720 149641506 166268340 199522008 213773580 249402510 299283012 332536680 374103765 427547160 498805020 598566024 748207530 997610040 1496415060 2992830120