Search a number
-
+
2097982700 = 2252112832089
BaseRepresentation
bin111110100001100…
…1010110011101100
312102012201120012222
41331003022303230
513244040421300
6544103014512
7102663362432
oct17503126354
95365646188
102097982700
11987290500
124a673a438
132758628a8
1415c8c2d52
15c42b9785
hex7d0cacec

2097982700 has 108 divisors (see below), whose sum is σ = 5066837160. Its totient is φ = 753350400.

The previous prime is 2097982681. The next prime is 2097982709. The reversal of 2097982700 is 72897902.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2097982709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1003256 + ... + 1005344.

Almost surely, 22097982700 is an apocalyptic number.

2097982700 is a gapful number since it is divisible by the number (20) 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 2097982700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533418580).

2097982700 is an abundant number, since it is smaller than the sum of its proper divisors (2968854460).

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

2097982700 is a wasteful number, since it uses less digits than its factorization.

2097982700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 2097982700 is about 45803.7411135815. The cubic root of 2097982700 is about 1280.1689840376.

The spelling of 2097982700 in words is "two billion, ninety-seven million, nine hundred eighty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 121 166 220 242 275 332 415 484 550 605 830 913 1100 1210 1660 1826 2075 2089 2420 3025 3652 4150 4178 4565 6050 8300 8356 9130 10043 10445 12100 18260 20086 20890 22825 22979 40172 41780 45650 45958 50215 52225 91300 91916 100430 104450 114895 173387 200860 208900 229790 251075 252769 346774 459580 502150 505538 574475 693548 866935 1004300 1011076 1148950 1263845 1733870 1907257 2297900 2527690 3467740 3814514 4334675 5055380 6319225 7629028 8669350 9536285 12638450 17338700 19072570 20979827 25276900 38145140 41959654 47681425 83919308 95362850 104899135 190725700 209798270 419596540 524495675 1048991350 2097982700