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2114026704 = 2432177112163
BaseRepresentation
bin111111000000001…
…0111110011010000
312110022220200110100
41332000113303100
513312142323304
6545434532400
7103246634106
oct17600276320
95408820410
102114026704
11995349609
124abb97100
13278c8c49a
14160a9bc76
15c58d8439
hex7e017cd0

2114026704 has 120 divisors (see below), whose sum is σ = 6353111232. Its totient is φ = 653829120.

The previous prime is 2114026643. The next prime is 2114026723. The reversal of 2114026704 is 4076204112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167727 + ... + 179889.

Almost surely, 22114026704 is an apocalyptic number.

2114026704 is a gapful number since it is divisible by the number (24) 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 2114026704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176555616).

2114026704 is an abundant number, since it is smaller than the sum of its proper divisors (4239084528).

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

2114026704 is a wasteful number, since it uses less digits than its factorization.

2114026704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2114026704 is about 45978.5461275147. The cubic root of 2114026704 is about 1283.4239999510.

The spelling of 2114026704 in words is "two billion, one hundred fourteen million, twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 612 639 816 852 1136 1207 1224 1278 1704 2414 2448 2556 3408 3621 4828 5112 7242 9656 10224 10863 12163 14484 19312 21726 24326 28968 36489 43452 48652 57936 72978 86904 97304 109467 145956 173808 194608 206771 218934 291912 413542 437868 583824 620313 827084 863573 875736 1240626 1654168 1727146 1751472 1860939 2481252 2590719 3308336 3454292 3721878 4962504 5181438 6908584 7443756 7772157 9925008 10362876 13817168 14680741 14887512 15544314 20725752 29361482 29775024 31088628 41451504 44042223 58722964 62177256 88084446 117445928 124354512 132126669 176168892 234891856 264253338 352337784 528506676 704675568 1057013352 2114026704