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6893980900 = 2252194232
BaseRepresentation
bin1100110101110100…
…11100110011100100
3122210110020111220221
412122322130303210
5103104324342100
63100025534124
7332560604452
oct63272346344
918713214827
106893980900
112a18521984
121404944344
1385b365851
1449583d9d2
152a537601a
hex19ae9cce4

6893980900 has 135 divisors (see below), whose sum is σ = 16507457561. Its totient is φ = 2498870880.

The previous prime is 6893980837. The next prime is 6893980903. The reversal of 6893980900 is 90893986.

The square root of 6893980900 is 83030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2481833124 + 4412147776 = 49818^2 + 66424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6893980903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299738289 + ... + 299738311.

Almost surely, 26893980900 is an apocalyptic number.

6893980900 is the 83030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6893980900

6893980900 is an abundant number, since it is smaller than the sum of its proper divisors (9613476661).

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

6893980900 is an equidigital number, since it uses as much as digits as its factorization.

6893980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The cubic root of 6893980900 is about 1903.2245245051.

The spelling of 6893980900 in words is "six billion, eight hundred ninety-three million, nine hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 361 380 437 460 475 529 575 722 874 950 1058 1150 1444 1748 1805 1900 2116 2185 2300 2645 3610 4370 5290 6859 7220 8303 8740 9025 10051 10580 10925 13225 13718 16606 18050 20102 21850 26450 27436 33212 34295 36100 40204 41515 43700 50255 52900 68590 83030 100510 130321 137180 157757 166060 171475 190969 201020 207575 251275 260642 315514 342950 381938 415150 502550 521284 631028 651605 685900 763876 788785 830300 954845 1005100 1303210 1577570 1909690 2606420 2997383 3155140 3258025 3628411 3819380 3943925 4774225 5994766 6516050 7256822 7887850 9548450 11989532 13032100 14513644 14986915 15775700 18142055 19096900 29973830 36284110 59947660 68939809 72568220 74934575 90710275 137879618 149869150 181420550 275759236 299738300 344699045 362841100 689398090 1378796180 1723495225 3446990450 6893980900