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1003960940 = 225891912953
BaseRepresentation
bin111011110101110…
…011101001101100
32120222010111111112
4323311303221230
54024003222230
6243342211152
733610345553
oct7365635154
92528114445
101003960940
11475789794
12240283ab8
1312ccc6038
149749cd9a
155d214d95
hex3bd73a6c

1003960940 has 48 divisors (see below), whose sum is σ = 2143895040. Its totient is φ = 394859520.

The previous prime is 1003960939. The next prime is 1003960943. The reversal of 1003960940 is 490693001.

It is a junction number, because it is equal to n+sod(n) for n = 1003960897 and 1003960906.

It is not an unprimeable number, because it can be changed into a prime (1003960943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338504 + ... + 341456.

It is an arithmetic number, because the mean of its divisors is an integer number (44664480).

Almost surely, 21003960940 is an apocalyptic number.

1003960940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003960940 is an abundant number, since it is smaller than the sum of its proper divisors (1139934100).

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

1003960940 is a wasteful number, since it uses less digits than its factorization.

1003960940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1003960940 is about 31685.3426681802. The cubic root of 1003960940 is about 1001.3185739319.

The spelling of 1003960940 in words is "one billion, three million, nine hundred sixty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 89 178 191 356 382 445 764 890 955 1780 1910 2953 3820 5906 11812 14765 16999 29530 33998 59060 67996 84995 169990 262817 339980 525634 564023 1051268 1128046 1314085 2256092 2628170 2820115 5256340 5640230 11280460 50198047 100396094 200792188 250990235 501980470 1003960940