[go: up one dir, main page]

Search a number
-
+
10244400 = 243528537
BaseRepresentation
bin100111000101…
…000100110000
3201021110200020
4213011010300
510110310100
61003323440
7153035025
oct47050460
921243606
1010244400
115867851
123520580
132178b9a
14150954c
15d755a0
hex9c5130

10244400 has 60 divisors (see below), whose sum is σ = 32820072. Its totient is φ = 2731520.

The previous prime is 10244393. The next prime is 10244447. The reversal of 10244400 is 444201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10244400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3069 + ... + 5468.

Almost surely, 210244400 is an apocalyptic number.

10244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244400 is an abundant number, since it is smaller than the sum of its proper divisors (22575672).

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

10244400 is a wasteful number, since it uses less digits than its factorization.

10244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10244400 is about 3200.6874261633. The cubic root of 10244400 is about 217.1845075757.

Adding to 10244400 its reverse (444201), we get a palindrome (10688601).

The spelling of 10244400 in words is "ten million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 8537 17074 25611 34148 42685 51222 68296 85370 102444 128055 136592 170740 204888 213425 256110 341480 409776 426850 512220 640275 682960 853700 1024440 1280550 1707400 2048880 2561100 3414800 5122200 10244400