Search a number
-
+
10030720 = 27572239
BaseRepresentation
bin100110010000…
…111010000000
3200212121120011
4212100322000
510031440340
6554554304
7151155040
oct46207200
920777504
1010030720
115731257
123438994
13210284b
141491720
15d320ea
hex990e80

10030720 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3437568.

The previous prime is 10030717. The next prime is 10030721. The reversal of 10030720 is 2703001.

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 10030720.

It is not an unprimeable number, because it can be changed into a prime (10030721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3361 + ... + 5599.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 210030720 is an apocalyptic number.

10030720 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 10030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10030720 is an abundant number, since it is smaller than the sum of its proper divisors (17386880).

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

10030720 is an equidigital number, since it uses as much as digits as its factorization.

10030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10030720 is about 3167.1311939988. The cubic root of 10030720 is about 215.6638575914.

Adding to 10030720 its reverse (2703001), we get a palindrome (12733721).

The spelling of 10030720 in words is "ten million, thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2239 2240 4478 4480 8956 11195 15673 17912 22390 31346 35824 44780 62692 71648 78365 89560 125384 143296 156730 179120 250768 286592 313460 358240 501536 626920 716480 1003072 1253840 1432960 2006144 2507680 5015360 10030720