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10143400 = 2352411237
BaseRepresentation
bin100110101100…
…011010101000
3201002100010111
4212230122220
510044042100
61001224104
7152134411
oct46543250
921070114
1010143400
1157a8983
123492034
132141c17
1414c0808
15d556ba
hex9ac6a8

10143400 has 48 divisors (see below), whose sum is σ = 24178140. Its totient is φ = 3955200.

The previous prime is 10143389. The next prime is 10143401. The reversal of 10143400 is 434101.

It can be written as a sum of positive squares in 6 ways, for example, as 2292196 + 7851204 = 1514^2 + 2802^2 .

It is not an unprimeable number, because it can be changed into a prime (10143401) 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, 7582 + ... + 8818.

Almost surely, 210143400 is an apocalyptic number.

10143400 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 10143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089070).

10143400 is an abundant number, since it is smaller than the sum of its proper divisors (14034740).

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

10143400 is a wasteful number, since it uses less digits than its factorization.

10143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10143400 is about 3184.8704840229. The cubic root of 10143400 is about 216.4684050917.

Adding to 10143400 its reverse (434101), we get a palindrome (10577501).

The spelling of 10143400 in words is "ten million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1237 1640 2050 2474 4100 4948 6185 8200 9896 12370 24740 30925 49480 50717 61850 101434 123700 202868 247400 253585 405736 507170 1014340 1267925 2028680 2535850 5071700 10143400