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103899848 = 23132313767
BaseRepresentation
bin1100011000101…
…10001011001000
321020111122210112
412030112023020
5203044243343
614150533452
72401064003
oct614261310
9236448715
10103899848
1153715548
122a967288
13186aa900
14db2853a
1591c5218
hex63162c8

103899848 has 96 divisors (see below), whose sum is σ = 226978560. Its totient is φ = 44478720.

The previous prime is 103899833. The next prime is 103899881. The reversal of 103899848 is 848998301.

It is a junction number, because it is equal to n+sod(n) for n = 103899796 and 103899805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550711 + ... + 1550777.

It is an arithmetic number, because the mean of its divisors is an integer number (2364360).

Almost surely, 2103899848 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 103899848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113489280).

103899848 is an abundant number, since it is smaller than the sum of its proper divisors (123078712).

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

103899848 is a wasteful number, since it uses less digits than its factorization.

103899848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 103899848 is about 10193.1274886563. The cubic root of 103899848 is about 470.1159333745.

The spelling of 103899848 in words is "one hundred three million, eight hundred ninety-nine thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 37 52 62 67 74 104 124 134 148 169 248 268 296 338 403 481 536 676 806 871 962 1147 1352 1612 1742 1924 2077 2294 2479 3224 3484 3848 4154 4588 4958 5239 6253 6968 8308 9176 9916 10478 11323 12506 14911 16616 19832 20956 22646 25012 27001 29822 32227 41912 45292 50024 54002 59644 64454 76849 90584 108004 119288 128908 153698 193843 216008 257816 307396 351013 387686 418951 614792 702026 775372 837902 999037 1404052 1550744 1675804 1998074 2808104 3351608 3996148 7992296 12987481 25974962 51949924 103899848