Search a number
-
+
10113400 = 2352114597
BaseRepresentation
bin100110100101…
…000101111000
3201000210222101
4212211011320
510042112100
61000433144
7151651063
oct46450570
921023871
1010113400
115788390
1234787b4
13213137b
1414b38da
15d4b86a
hex9a5178

10113400 has 48 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 3676800.

The previous prime is 10113359. The next prime is 10113401. The reversal of 10113400 is 431101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 99 + ... + 4498.

Almost surely, 210113400 is an apocalyptic number.

10113400 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 10113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828420).

10113400 is an abundant number, since it is smaller than the sum of its proper divisors (15543440).

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

10113400 is a wasteful number, since it uses less digits than its factorization.

10113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10113400 is about 3180.1572288175. The cubic root of 10113400 is about 216.2547862217.

Adding to 10113400 its reverse (431101), we get a palindrome (10544501).

The spelling of 10113400 in words is "ten million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4597 9194 18388 22985 36776 45970 50567 91940 101134 114925 183880 202268 229850 252835 404536 459700 505670 919400 1011340 1264175 2022680 2528350 5056700 10113400