[go: up one dir, main page]

Search a number
-
+
10903424 = 27743283
BaseRepresentation
bin101001100101…
…111110000000
3202111221200112
4221211332000
510242402144
61025410452
7161451260
oct51457600
922457615
1010903424
1161779a4
123799a28
132349b3c
14163b7a0
15e5599e
hexa65f80

10903424 has 64 divisors (see below), whose sum is σ = 25491840. Its totient is φ = 4548096.

The previous prime is 10903393. The next prime is 10903429. The reversal of 10903424 is 42430901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10903424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10903429) 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 7 ways as a sum of consecutive naturals, for example, 38387 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (398310).

Almost surely, 210903424 is an apocalyptic number.

10903424 is a gapful number since it is divisible by the number (14) 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 10903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745920).

10903424 is an abundant number, since it is smaller than the sum of its proper divisors (14588416).

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

10903424 is an equidigital number, since it uses as much as digits as its factorization.

10903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10903424 is about 3302.0333129755. The cubic root of 10903424 is about 221.7452370639.

The spelling of 10903424 in words is "ten million, nine hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 283 301 344 448 566 602 688 896 1132 1204 1376 1981 2264 2408 2752 3962 4528 4816 5504 7924 9056 9632 12169 15848 18112 19264 24338 31696 36224 38528 48676 63392 85183 97352 126784 170366 194704 253568 340732 389408 681464 778816 1362928 1557632 2725856 5451712 10903424