Search a number
-
+
1940760 = 23345599
BaseRepresentation
bin111011001110100011000
310122121020000
413121310120
5444101020
6105333000
722332123
oct7316430
93577200
101940760
111106138
12797160
1352c4a3
143873ba
15285090
hex1d9d18

1940760 has 80 divisors (see below), whose sum is σ = 6534000. Its totient is φ = 516672.

The previous prime is 1940759. The next prime is 1940777. The reversal of 1940760 is 670491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2941 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (81675).

21940760 is an apocalyptic number.

1940760 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 1940760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267000).

1940760 is an abundant number, since it is smaller than the sum of its proper divisors (4593240).

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

1940760 is a wasteful number, since it uses less digits than its factorization.

1940760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1940760 is about 1393.1116251040. Note that the first 3 decimals coincide. The cubic root of 1940760 is about 124.7356546999.

The spelling of 1940760 in words is "one million, nine hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 599 648 810 1080 1198 1620 1797 2396 2995 3240 3594 4792 5391 5990 7188 8985 10782 11980 14376 16173 17970 21564 23960 26955 32346 35940 43128 48519 53910 64692 71880 80865 97038 107820 129384 161730 194076 215640 242595 323460 388152 485190 646920 970380 1940760