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1468382460 = 223547520703
BaseRepresentation
bin101011110000101…
…1011110011111100
310210100000120001120
41113201123303330
511001401214320
6401412310540
751250021266
oct12741336374
93710016046
101468382460
11693955526
1234b912450
131a52a1c7c
14dd032b36
1588da1440
hex5785bcfc

1468382460 has 48 divisors (see below), whose sum is σ = 4198957056. Its totient is φ = 383236672.

The previous prime is 1468382441. The next prime is 1468382467. The reversal of 1468382460 is 642838641.

It is a super-2 number, since 2×14683824602 = 4312294097671303200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468382467) 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, 257532 + ... + 263171.

It is an arithmetic number, because the mean of its divisors is an integer number (87478272).

Almost surely, 21468382460 is an apocalyptic number.

1468382460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468382460 is an abundant number, since it is smaller than the sum of its proper divisors (2730574596).

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

1468382460 is a wasteful number, since it uses less digits than its factorization.

1468382460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520762 (or 520760 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1468382460 is about 38319.4788586693. The cubic root of 1468382460 is about 1136.6141613485.

The spelling of 1468382460 in words is "one billion, four hundred sixty-eight million, three hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 520703 1041406 1562109 2082812 2603515 3124218 5207030 6248436 7810545 10414060 15621090 24473041 31242180 48946082 73419123 97892164 122365205 146838246 244730410 293676492 367095615 489460820 734191230 1468382460