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103110240 = 25351131901
BaseRepresentation
bin1100010010101…
…01011001100000
321012000112122210
412021111121200
5202344011430
614122002120
72361264642
oct611253140
9235015583
10103110240
1153226282
122a646340
131849239c
14d9a0892
1590bb2b0
hex6255660

103110240 has 96 divisors (see below), whose sum is σ = 327843936. Its totient is φ = 27238400.

The previous prime is 103110239. The next prime is 103110257. The reversal of 103110240 is 42011301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53290 + ... + 55190.

It is an arithmetic number, because the mean of its divisors is an integer number (3415041).

Almost surely, 2103110240 is an apocalyptic number.

103110240 is a gapful number since it is divisible by the number (10) 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 103110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163921968).

103110240 is an abundant number, since it is smaller than the sum of its proper divisors (224733696).

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

103110240 is a wasteful number, since it uses less digits than its factorization.

103110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103110240 is about 10154.3212476265. The cubic root of 103110240 is about 468.9219898650.

Adding to 103110240 its reverse (42011301), we get a palindrome (145121541).

The spelling of 103110240 in words is "one hundred three million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 1901 2260 2712 3390 3616 3802 4520 5424 5703 6780 7604 9040 9505 10848 11406 13560 15208 18080 19010 22812 27120 28515 30416 38020 45624 54240 57030 60832 76040 91248 114060 152080 182496 214813 228120 304160 429626 456240 644439 859252 912480 1074065 1288878 1718504 2148130 2577756 3222195 3437008 4296260 5155512 6444390 6874016 8592520 10311024 12888780 17185040 20622048 25777560 34370080 51555120 103110240