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1004513016 = 2331321671483
BaseRepresentation
bin111011110111111…
…010011011111000
32121000011112210210
4323313322123320
54024123404031
6243402111120
733615135243
oct7367723370
92530145723
101004513016
11476026551
122404ab4a0
1313015a400
14975a425a
155d2c3746
hex3bdfa6f8

1004513016 has 96 divisors (see below), whose sum is σ = 2737445760. Its totient is φ = 307022976.

The previous prime is 1004513009. The next prime is 1004513021. The reversal of 1004513016 is 6103154001.

It is a junction number, because it is equal to n+sod(n) for n = 1004512983 and 1004513001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676611 + ... + 678093.

It is an arithmetic number, because the mean of its divisors is an integer number (28515060).

Almost surely, 21004513016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004513016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368722880).

1004513016 is an abundant number, since it is smaller than the sum of its proper divisors (1732932744).

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

1004513016 is a wasteful number, since it uses less digits than its factorization.

1004513016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1004513016 is about 31694.0533223506. The cubic root of 1004513016 is about 1001.5020812888.

Adding to 1004513016 its reverse (6103154001), we get a palindrome (7107667017).

The spelling of 1004513016 in words is "one billion, four million, five hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 169 312 334 338 501 507 668 676 1002 1014 1336 1352 1483 2004 2028 2171 2966 4008 4056 4342 4449 5932 6513 8684 8898 11864 13026 17368 17796 19279 26052 28223 35592 38558 52104 56446 57837 77116 84669 112892 115674 154232 169338 225784 231348 247661 250627 338676 462696 495322 501254 677352 742983 751881 990644 1002508 1485966 1503762 1981288 2005016 2971932 3007524 3219593 5943864 6015048 6439186 9658779 12878372 19317558 25756744 38635116 41854709 77270232 83709418 125564127 167418836 251128254 334837672 502256508 1004513016