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1385292440 = 235719125903
BaseRepresentation
bin101001010010001…
…1110001010011000
310120112200010222102
41102210132022120
510314113324230
6345243342532
746220535320
oct12244361230
93515603872
101385292440
11650a63794
12327b21a48
13190ccc28c
14d1da4280
158193c045
hex5291e298

1385292440 has 64 divisors (see below), whose sum is σ = 3580968960. Its totient is φ = 472452480.

The previous prime is 1385292439. The next prime is 1385292463. The reversal of 1385292440 is 442925831.

It is a junction number, because it is equal to n+sod(n) for n = 1385292394 and 1385292403.

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, 40529 + ... + 66431.

It is an arithmetic number, because the mean of its divisors is an integer number (55952640).

Almost surely, 21385292440 is an apocalyptic number.

1385292440 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 1385292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790484480).

1385292440 is an abundant number, since it is smaller than the sum of its proper divisors (2195676520).

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

1385292440 is a wasteful number, since it uses less digits than its factorization.

1385292440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26112 (or 26108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1385292440 is about 37219.5169232487. The cubic root of 1385292440 is about 1114.7577184772.

The spelling of 1385292440 in words is "one billion, three hundred eighty-five million, two hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1528 1910 2674 3820 5348 6685 7640 10696 13370 25903 26740 51806 53480 103612 129515 181321 207224 259030 362642 518060 725284 906605 1036120 1450568 1813210 3626420 4947473 7252840 9894946 19789892 24737365 34632311 39579784 49474730 69264622 98949460 138529244 173161555 197898920 277058488 346323110 692646220 1385292440