Search a number
-
+
1996677200 = 245271741947
BaseRepresentation
bin111011100000010…
…1110000001010000
312011011002201012102
41313000232001100
513042122132300
6530043415532
7100323322220
oct16700560120
95134081172
101996677200
11935088151
124788245a8
1325a882acb
1414d272080
15ba4580d5
hex7702e050

1996677200 has 120 divisors (see below), whose sum is σ = 5804932032. Its totient is φ = 644290560.

The previous prime is 1996677191. The next prime is 1996677229. The reversal of 1996677200 is 27766991.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 26627 + ... + 68573.

Almost surely, 21996677200 is an apocalyptic number.

1996677200 is a gapful number since it is divisible by the number (10) 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 1996677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902466016).

1996677200 is an abundant number, since it is smaller than the sum of its proper divisors (3808254832).

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

1996677200 is a wasteful number, since it uses less digits than its factorization.

1996677200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41989 (or 41978 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 1996677200 is about 44684.1940735200. The cubic root of 1996677200 is about 1259.2229188496. Note that the first 3 decimals are identical.

The spelling of 1996677200 in words is "one billion, nine hundred ninety-six million, six hundred seventy-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 340 350 400 425 476 560 595 680 700 850 952 1190 1360 1400 1700 1904 2380 2800 2975 3400 4760 5950 6800 9520 11900 23800 41947 47600 83894 167788 209735 293629 335576 419470 587258 671152 713099 838940 1048675 1174516 1426198 1468145 1677880 2097350 2349032 2852396 2936290 3355760 3565495 4194700 4698064 4991693 5704792 5872580 7130990 7340725 8389400 9983386 11409584 11745160 14261980 14681450 16778800 17827475 19966772 23490320 24958465 28523960 29362900 35654950 39933544 49916930 57047920 58725800 71309900 79867088 99833860 117451600 124792325 142619800 199667720 249584650 285239600 399335440 499169300 998338600 1996677200