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1940040 = 2332517317
BaseRepresentation
bin111011001101001001000
310122120020100
413121221020
5444040130
6105325400
722330044
oct7315110
93576210
101940040
111105643
12796860
1352c06b
14387024
15284c60
hex1d9a48

1940040 has 96 divisors (see below), whose sum is σ = 6697080. Its totient is φ = 485376.

The previous prime is 1939999. The next prime is 1940041. The reversal of 1940040 is 400491.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 599076 = 1158^2 + 774^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1939995 and 1940022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5962 + ... + 6278.

21940040 is an apocalyptic number.

1940040 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 1940040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348540).

1940040 is an abundant number, since it is smaller than the sum of its proper divisors (4757040).

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

1940040 is a wasteful number, since it uses less digits than its factorization.

1940040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1940040 is about 1392.8531868076. The cubic root of 1940040 is about 124.7202276198.

The spelling of 1940040 in words is "one million, nine hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 317 340 360 408 510 612 634 680 765 951 1020 1224 1268 1530 1585 1902 2040 2536 2853 3060 3170 3804 4755 5389 5706 6120 6340 7608 9510 10778 11412 12680 14265 16167 19020 21556 22824 26945 28530 32334 38040 43112 48501 53890 57060 64668 80835 97002 107780 114120 129336 161670 194004 215560 242505 323340 388008 485010 646680 970020 1940040