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2013504108 = 2237114434919
BaseRepresentation
bin111100000000011…
…1010001001101100
312012022202121101020
41320000322021230
513110424112413
6531444214140
7100616334240
oct17000721154
95168677336
102013504108
11943630490
1248239a350
132611c4b65
141515b2420
15bbb7dc23
hex7803a26c

2013504108 has 96 divisors (see below), whose sum is σ = 5871882240. Its totient is φ = 521701440.

The previous prime is 2013504091. The next prime is 2013504109. The reversal of 2013504108 is 8014053102.

It is not an unprimeable number, because it can be changed into a prime (2013504109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406873 + ... + 411791.

It is an arithmetic number, because the mean of its divisors is an integer number (61165440).

Almost surely, 22013504108 is an apocalyptic number.

2013504108 is a gapful number since it is divisible by the number (28) 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 2013504108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935941120).

2013504108 is an abundant number, since it is smaller than the sum of its proper divisors (3858378132).

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

2013504108 is a wasteful number, since it uses less digits than its factorization.

2013504108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2013504108 is about 44872.0860669526. The cubic root of 2013504108 is about 1262.7503764838.

The spelling of 2013504108 in words is "two billion, thirteen million, five hundred four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 443 462 886 924 1329 1772 2658 3101 4873 4919 5316 6202 9303 9746 9838 12404 14619 14757 18606 19492 19676 29238 29514 34111 34433 37212 54109 58476 59028 68222 68866 102333 103299 108218 136444 137732 162327 204666 206598 216436 324654 378763 409332 413196 649308 757526 1136289 1515052 2179117 2272578 4358234 4545156 6537351 8716468 13074702 15253819 23970287 26149404 30507638 45761457 47940574 61015276 71910861 91522914 95881148 143821722 167792009 183045828 287643444 335584018 503376027 671168036 1006752054 2013504108