Search a number
-
+
6106698120 = 23351392691361
BaseRepresentation
bin1011010111111110…
…01101000110001000
3120202120211101222110
411223333031012020
5100001303314440
62445543422320
7304221035415
oct55377150610
916676741873
106106698120
112654087756
1212251549a0
13764216253
1441d06510c
1525b1b2080
hex16bfcd188

6106698120 has 128 divisors (see below), whose sum is σ = 18534096000. Its totient is φ = 1609543680.

The previous prime is 6106698043. The next prime is 6106698121. The reversal of 6106698120 is 218966016.

It is not an unprimeable number, because it can be changed into a prime (6106698121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486240 + ... + 4487600.

It is an arithmetic number, because the mean of its divisors is an integer number (144797625).

Almost surely, 26106698120 is an apocalyptic number.

6106698120 is a gapful number since it is divisible by the number (60) 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 6106698120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267048000).

6106698120 is an abundant number, since it is smaller than the sum of its proper divisors (12427397880).

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

6106698120 is a wasteful number, since it uses less digits than its factorization.

6106698120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 6106698120 is about 78145.3653136256. The cubic root of 6106698120 is about 1827.8286647907.

The spelling of 6106698120 in words is "six billion, one hundred six million, six hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 269 278 417 538 556 695 807 834 1076 1112 1345 1361 1390 1614 1668 2085 2152 2690 2722 2780 3228 3336 4035 4083 4170 5380 5444 5560 6456 6805 8070 8166 8340 10760 10888 13610 16140 16332 16680 20415 27220 32280 32664 37391 40830 54440 74782 81660 112173 149564 163320 186955 189179 224346 299128 366109 373910 378358 448692 560865 567537 732218 747820 756716 897384 945895 1098327 1121730 1135074 1464436 1495640 1513432 1830545 1891790 2196654 2243460 2270148 2837685 2928872 3661090 3783580 4393308 4486920 4540296 5491635 5675370 7322180 7567160 8786616 10983270 11350740 14644360 21966540 22701480 43933080 50889151 101778302 152667453 203556604 254445755 305334906 407113208 508891510 610669812 763337265 1017783020 1221339624 1526674530 2035566040 3053349060 6106698120