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1468013340 = 2235191287731
BaseRepresentation
bin101011110000000…
…0001101100011100
310210022022210201110
41113200001230130
511001302411330
6401400342020
751243623163
oct12740015434
93708283643
101468013340
11693723172
1234b774910
131a51a2c61
14dcd783da
1588d2bdb0
hex57801b1c

1468013340 has 48 divisors (see below), whose sum is σ = 4326779520. Its totient is φ = 370866240.

The previous prime is 1468013329. The next prime is 1468013353. The reversal of 1468013340 is 433108641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1468013298 and 1468013307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642726 + ... + 645005.

It is an arithmetic number, because the mean of its divisors is an integer number (90141240).

Almost surely, 21468013340 is an apocalyptic number.

1468013340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468013340 is an abundant number, since it is smaller than the sum of its proper divisors (2858766180).

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

1468013340 is a wasteful number, since it uses less digits than its factorization.

1468013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287762 (or 1287760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1468013340 is about 38314.6622065235. The cubic root of 1468013340 is about 1136.5189131892.

The spelling of 1468013340 in words is "one billion, four hundred sixty-eight million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1287731 2575462 3863193 5150924 6438655 7726386 12877310 15452772 19315965 24466889 25754620 38631930 48933778 73400667 77263860 97867556 122334445 146801334 244668890 293602668 367003335 489337780 734006670 1468013340