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103134000 = 2435317189
BaseRepresentation
bin1100010010110…
…11001100110000
321012001202020210
412021123030300
5202400242000
614122304120
72361424134
oct611331460
9235052223
10103134000
1153242112
122a658040
13184a0148
14d9a93c4
1590c3350
hex625b330

103134000 has 80 divisors (see below), whose sum is σ = 332523360. Its totient is φ = 27500800.

The previous prime is 103133999. The next prime is 103134013. The reversal of 103134000 is 431301.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (4156542).

Almost surely, 2103134000 is an apocalyptic number.

103134000 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 103134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166261680).

103134000 is an abundant number, since it is smaller than the sum of its proper divisors (229389360).

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

103134000 is a wasteful number, since it uses less digits than its factorization.

103134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17215 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103134000 is about 10155.4911254946. The cubic root of 103134000 is about 468.9580054627.

Adding to 103134000 its reverse (431301), we get a palindrome (103565301).

The spelling of 103134000 in words is "one hundred three million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17189 34378 51567 68756 85945 103134 137512 171890 206268 257835 275024 343780 412536 429725 515670 687560 825072 859450 1031340 1289175 1375120 1718900 2062680 2148625 2578350 3437800 4125360 4297250 5156700 6445875 6875600 8594500 10313400 12891750 17189000 20626800 25783500 34378000 51567000 103134000