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1382538940 = 2251737910729
BaseRepresentation
bin101001001100111…
…1101111010111100
310120100111020212221
41102121331322330
510312412221230
6345104335124
746155246526
oct12231757274
93510436787
101382538940
1164a452a72
123270144a4
13190576ba3
14d1888a16
158159627a
hex5267debc

1382538940 has 48 divisors (see below), whose sum is σ = 3082514400. Its totient is φ = 519063552.

The previous prime is 1382538919. The next prime is 1382538977. The reversal of 1382538940 is 498352831.

It is a super-2 number, since 2×13825389402 = 3822827841232647200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 123496 + ... + 134224.

It is an arithmetic number, because the mean of its divisors is an integer number (64219050).

Almost surely, 21382538940 is an apocalyptic number.

1382538940 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 1382538940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541257200).

1382538940 is an abundant number, since it is smaller than the sum of its proper divisors (1699975460).

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

1382538940 is a wasteful number, since it uses less digits than its factorization.

1382538940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 1382538940 is about 37182.5085221533. The cubic root of 1382538940 is about 1114.0186395548.

The spelling of 1382538940 in words is "one billion, three hundred eighty-two million, five hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 379 758 1516 1895 3790 6443 7580 10729 12886 21458 25772 32215 42916 53645 64430 107290 128860 182393 214580 364786 729572 911965 1823930 3647860 4066291 8132582 16265164 20331455 40662910 69126947 81325820 138253894 276507788 345634735 691269470 1382538940