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1005024380 = 225194361507
BaseRepresentation
bin111011111001110…
…111010001111100
32121001010112021012
4323321313101330
54024241240010
6243421054352
733622365143
oct7371672174
92531115235
101005024380
11476345768
122406b73b8
131302a90a9
149769875a
155d375005
hex3be7747c

1005024380 has 48 divisors (see below), whose sum is σ = 2273335680. Its totient is φ = 371988288.

The previous prime is 1005024379. The next prime is 1005024403. The reversal of 1005024380 is 834205001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14414 + ... + 47093.

It is an arithmetic number, because the mean of its divisors is an integer number (47361160).

Almost surely, 21005024380 is an apocalyptic number.

1005024380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005024380 is an abundant number, since it is smaller than the sum of its proper divisors (1268311300).

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

1005024380 is a wasteful number, since it uses less digits than its factorization.

1005024380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61578 (or 61576 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1005024380 is about 31702.1194875043. The cubic root of 1005024380 is about 1001.6719962040.

Adding to 1005024380 its reverse (834205001), we get a palindrome (1839229381).

The spelling of 1005024380 in words is "one billion, five million, twenty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 16340 61507 123014 246028 307535 615070 1168633 1230140 2337266 2644801 4674532 5289602 5843165 10579204 11686330 13224005 23372660 26448010 50251219 52896020 100502438 201004876 251256095 502512190 1005024380