Search a number
-
+
1920996 = 223472112
BaseRepresentation
bin111010100111111100100
310121121010000
413110333210
5442432441
6105101300
722220400
oct7247744
93547100
101920996
1110a2300
12787830
135234ac
14380100
1527e2b6
hex1d4fe4

1920996 has 135 divisors (see below), whose sum is σ = 6421107. Its totient is φ = 498960.

The previous prime is 1920991. The next prime is 1921013. The reversal of 1920996 is 6990291.

The square root of 1920996 is 1386.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1920996.

It is not an unprimeable number, because it can be changed into a prime (1920991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 174631 + ... + 174641.

21920996 is an apocalyptic number.

1920996 is the 1386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920996

1920996 is an abundant number, since it is smaller than the sum of its proper divisors (4500111).

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

1920996 is a wasteful number, since it uses less digits than its factorization.

1920996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The cubic root of 1920996 is about 124.3107882145.

Multiplying 1920996 by its sum of digits (36), we get a square (69155856 = 83162).

1920996 divided by its sum of digits (36) gives a square (53361 = 2312).

It can be divided in two parts, 1920 and 996, that added together give a square (2916 = 542).

The spelling of 1920996 in words is "one million, nine hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 81 84 98 99 108 121 126 132 147 154 162 189 196 198 231 242 252 294 297 308 324 363 378 396 441 462 484 539 567 588 594 693 726 756 847 882 891 924 1078 1089 1134 1188 1323 1386 1452 1617 1694 1764 1782 2079 2156 2178 2268 2541 2646 2772 3234 3267 3388 3564 3969 4158 4356 4851 5082 5292 5929 6237 6468 6534 7623 7938 8316 9702 9801 10164 11858 12474 13068 14553 15246 15876 17787 19404 19602 22869 23716 24948 29106 30492 35574 39204 43659 45738 53361 58212 68607 71148 87318 91476 106722 137214 160083 174636 213444 274428 320166 480249 640332 960498 1920996