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1005103040 = 26519165313
BaseRepresentation
bin111011111010001…
…010011111000000
32121001021112011112
4323322022133000
54024301244130
6243422502452
733623143364
oct7372123700
92531245145
101005103040
11476399877
12240734a28
13130305b36
14976b92a4
155d38d495
hex3be8a7c0

1005103040 has 56 divisors (see below), whose sum is σ = 2519385360. Its totient is φ = 380878848.

The previous prime is 1005103007. The next prime is 1005103063. The reversal of 1005103040 is 403015001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76577 + ... + 88736.

Almost surely, 21005103040 is an apocalyptic number.

1005103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005103040 is an abundant number, since it is smaller than the sum of its proper divisors (1514282320).

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

1005103040 is a wasteful number, since it uses less digits than its factorization.

1005103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165349 (or 165339 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1005103040 is about 31703.3600742887. The cubic root of 1005103040 is about 1001.6981280622.

Adding to 1005103040 its reverse (403015001), we get a palindrome (1408118041).

It can be divided in two parts, 100510 and 3040, that multiplied together give a square (305550400 = 174802).

The spelling of 1005103040 in words is "one billion, five million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 165313 330626 661252 826565 1322504 1653130 2645008 3140947 3306260 5290016 6281894 6612520 10580032 12563788 13225040 15704735 25127576 26450080 31409470 50255152 52900160 62818940 100510304 125637880 201020608 251275760 502551520 1005103040