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1005480102 = 2311311134349
BaseRepresentation
bin111011111011100…
…110100010100110
32121001222200101210
4323323212202212
54024400330402
6243434532250
733626303604
oct7373464246
92531880353
101005480102
114766270a0
12240897086
13130408653
1497776874
155d41506c
hex3bee68a6

1005480102 has 64 divisors (see below), whose sum is σ = 2285107200. Its totient is φ = 292185600.

The previous prime is 1005480089. The next prime is 1005480103. The reversal of 1005480102 is 2010845001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005480103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229024 + ... + 233372.

It is an arithmetic number, because the mean of its divisors is an integer number (35704800).

Almost surely, 21005480102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005480102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142553600).

1005480102 is an abundant number, since it is smaller than the sum of its proper divisors (1279627098).

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

1005480102 is a wasteful number, since it uses less digits than its factorization.

1005480102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1005480102 is about 31709.3062364978. The cubic root of 1005480102 is about 1001.8233739534.

The spelling of 1005480102 in words is "one billion, five million, four hundred eighty thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 113 186 226 339 341 678 682 1023 1243 2046 2486 3503 3729 4349 7006 7458 8698 10509 13047 21018 26094 38533 47839 77066 95678 115599 134819 143517 231198 269638 287034 404457 491437 808914 982874 1474311 1483009 2948622 2966018 4449027 5405807 8898054 10811614 15234547 16217421 30469094 32434842 45703641 91407282 167580017 335160034 502740051 1005480102