Search a number
-
+
10115400 = 2335223733
BaseRepresentation
bin100110100101…
…100101001000
3201000220201110
4212211211020
510042143100
61000450320
7151656651
oct46454510
921026643
1010115400
115789939
1234799a0
132132259
1414b4528
15d4c250
hex9a5948

10115400 has 96 divisors (see below), whose sum is σ = 32765760. Its totient is φ = 2576640.

The previous prime is 10115381. The next prime is 10115407. The reversal of 10115400 is 451101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10115407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13434 + ... + 14166.

It is an arithmetic number, because the mean of its divisors is an integer number (341310).

Almost surely, 210115400 is an apocalyptic number.

10115400 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 10115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382880).

10115400 is an abundant number, since it is smaller than the sum of its proper divisors (22650360).

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

10115400 is a wasteful number, since it uses less digits than its factorization.

10115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10115400 is about 3180.4716631343. The cubic root of 10115400 is about 216.2690406124.

Adding to 10115400 its reverse (451101), we get a palindrome (10566501).

The spelling of 10115400 in words is "ten million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 733 920 1150 1380 1466 1725 2199 2300 2760 2932 3450 3665 4398 4600 5864 6900 7330 8796 10995 13800 14660 16859 17592 18325 21990 29320 33718 36650 43980 50577 54975 67436 73300 84295 87960 101154 109950 134872 146600 168590 202308 219900 252885 337180 404616 421475 439800 505770 674360 842950 1011540 1264425 1685900 2023080 2528850 3371800 5057700 10115400