Search a number
-
+
1985040 = 24335919
BaseRepresentation
bin111100100101000010000
310201211222000
413210220100
51002010130
6110314000
722605201
oct7445020
93654860
101985040
111136432
127b8900
135466a5
143995a8
15293260
hex1e4a10

1985040 has 80 divisors (see below), whose sum is σ = 6844800. Its totient is φ = 528768.

The previous prime is 1985017. The next prime is 1985041. The reversal of 1985040 is 405891.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1984995 and 1985013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (85560).

21985040 is an apocalyptic number.

1985040 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 1985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422400).

1985040 is an abundant number, since it is smaller than the sum of its proper divisors (4859760).

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

1985040 is a wasteful number, since it uses less digits than its factorization.

1985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1985040 is about 1408.9144757578. The cubic root of 1985040 is about 125.6771781467.

The spelling of 1985040 in words is "one million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 919 1080 1838 2160 2757 3676 4595 5514 7352 8271 9190 11028 13785 14704 16542 18380 22056 24813 27570 33084 36760 41355 44112 49626 55140 66168 73520 82710 99252 110280 124065 132336 165420 198504 220560 248130 330840 397008 496260 661680 992520 1985040