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1303198940 = 225414193793
BaseRepresentation
bin100110110101101…
…0011110011011100
310100211012100212102
41031223103303130
510132104331230
6333152024232
744203002551
oct11553236334
93324170772
101303198940
1160969271a
12304532078
13179cb8044
14c5114a28
1579623045
hex4dad3cdc

1303198940 has 48 divisors (see below), whose sum is σ = 2810898720. Its totient is φ = 507217920.

The previous prime is 1303198913. The next prime is 1303198969. The reversal of 1303198940 is 498913031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1303198894 and 1303198903.

It is a congruent number.

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, 341684 + ... + 345476.

It is an arithmetic number, because the mean of its divisors is an integer number (58560390).

Almost surely, 21303198940 is an apocalyptic number.

1303198940 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 1303198940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405449360).

1303198940 is an abundant number, since it is smaller than the sum of its proper divisors (1507699780).

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

1303198940 is a wasteful number, since it uses less digits than its factorization.

1303198940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1303198940 is about 36099.8468140794. The cubic root of 1303198940 is about 1092.2873549970.

The spelling of 1303198940 in words is "one billion, three hundred three million, one hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 419 820 838 1676 2095 3793 4190 7586 8380 15172 17179 18965 34358 37930 68716 75860 85895 155513 171790 311026 343580 622052 777565 1555130 1589267 3110260 3178534 6357068 7946335 15892670 31785340 65159947 130319894 260639788 325799735 651599470 1303198940