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1319028912 = 243217717589
BaseRepresentation
bin100111010011110…
…1100100010110000
310101220222121111200
41032213230202300
510200132411122
6334515211200
744454363225
oct11647544260
93356877450
101319028912
11617614a43
123098a6b00
1318036b3a6
14c727594c
157abed5ac
hex4e9ec8b0

1319028912 has 120 divisors (see below), whose sum is σ = 3964165920. Its totient is φ = 407930880.

The previous prime is 1319028883. The next prime is 1319028973. The reversal of 1319028912 is 2198209131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170014 + ... + 177602.

It is an arithmetic number, because the mean of its divisors is an integer number (33034716).

Almost surely, 21319028912 is an apocalyptic number.

1319028912 is a gapful number since it is divisible by the number (12) 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 1319028912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982082960).

1319028912 is an abundant number, since it is smaller than the sum of its proper divisors (2645137008).

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

1319028912 is a wasteful number, since it uses less digits than its factorization.

1319028912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1319028912 is about 36318.4376315942. The cubic root of 1319028912 is about 1096.6922429875.

The spelling of 1319028912 in words is "one billion, three hundred nineteen million, twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 612 639 816 852 1136 1207 1224 1278 1704 2414 2448 2556 3408 3621 4828 5112 7242 7589 9656 10224 10863 14484 15178 19312 21726 22767 28968 30356 43452 45534 57936 60712 68301 86904 91068 121424 129013 136602 173808 182136 258026 273204 364272 387039 516052 538819 546408 774078 1032104 1077638 1092816 1161117 1548156 1616457 2064208 2155276 2322234 3096312 3232914 4310552 4644468 4849371 6192624 6465828 8621104 9159923 9288936 9698742 12931656 18319846 18577872 19397484 25863312 27479769 36639692 38794968 54959538 73279384 77589936 82439307 109919076 146558768 164878614 219838152 329757228 439676304 659514456 1319028912