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1318292920 = 23578952901
BaseRepresentation
bin100111010010011…
…1000110110111000
310101212121012220201
41032210320312320
510144440333140
6334451331544
744445206410
oct11644706670
93355535821
101318292920
11617161a8a
123095b0bb4
131801713a9
14c7123640
157ab0549a
hex4e938db8

1318292920 has 64 divisors (see below), whose sum is σ = 3428049600. Its totient is φ = 446899200.

The previous prime is 1318292867. The next prime is 1318293007. The reversal of 1318292920 is 292928131.

It is a super-3 number, since 3×13182929203 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1318292920.

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, 1531 + ... + 51370.

It is an arithmetic number, because the mean of its divisors is an integer number (53563275).

Almost surely, 21318292920 is an apocalyptic number.

1318292920 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 1318292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714024800).

1318292920 is an abundant number, since it is smaller than the sum of its proper divisors (2109756680).

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

1318292920 is a wasteful number, since it uses less digits than its factorization.

1318292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53008 (or 53004 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1318292920 is about 36308.3037334437. The cubic root of 1318292920 is about 1096.4882275227.

The spelling of 1318292920 in words is "one billion, three hundred eighteen million, two hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 52901 105802 211604 264505 370307 423208 529010 740614 1058020 1481228 1851535 2116040 2962456 3703070 4708189 7406140 9416378 14812280 18832756 23540945 32957323 37665512 47081890 65914646 94163780 131829292 164786615 188327560 263658584 329573230 659146460 1318292920