Search a number
-
+
973940 = 2251119233
BaseRepresentation
bin11101101110001110100
31211110222212
43231301310
5222131230
632512552
711164322
oct3556164
91743885
10973940
11605810
123ab758
132813c6
141b4d12
15143895
hexedc74

973940 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 334080.

The previous prime is 973919. The next prime is 973957. The reversal of 973940 is 49379.

It is a happy number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 973897 and 973906.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4064 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2973940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

973940 is an abundant number, since it is smaller than the sum of its proper divisors (1384780).

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

973940 is a wasteful number, since it uses less digits than its factorization.

973940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 973940 is about 986.8839850763. The cubic root of 973940 is about 99.1236763339.

It can be divided in two parts, 9739 and 40, that added together give a palindrome (9779).

The spelling of 973940 in words is "nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 233 380 418 466 836 932 1045 1165 2090 2330 2563 4180 4427 4660 5126 8854 10252 12815 17708 22135 25630 44270 48697 51260 88540 97394 194788 243485 486970 973940