Search a number
-
+
1921040 = 245113759
BaseRepresentation
bin111010101000000010000
310121121011122
413111000100
5442433130
6105101412
722220462
oct7250020
93547148
101921040
1110a2340
12787868
13523514
14380132
1527e2e5
hex1d5010

1921040 has 80 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 668160.

The previous prime is 1921037. The next prime is 1921063. The reversal of 1921040 is 401291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32531 + ... + 32589.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

21921040 is an apocalyptic number.

1921040 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 1921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

1921040 is an abundant number, since it is smaller than the sum of its proper divisors (3167920).

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

1921040 is a wasteful number, since it uses less digits than its factorization.

1921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1921040 is about 1386.0158729250. The cubic root of 1921040 is about 124.3117373112.

The spelling of 1921040 in words is "one million, nine hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 59 74 80 88 110 118 148 176 185 220 236 295 296 370 407 440 472 590 592 649 740 814 880 944 1180 1298 1480 1628 2035 2183 2360 2596 2960 3245 3256 4070 4366 4720 5192 6490 6512 8140 8732 10384 10915 12980 16280 17464 21830 24013 25960 32560 34928 43660 48026 51920 87320 96052 120065 174640 192104 240130 384208 480260 960520 1921040