Search a number
-
+
10052480 = 275113139
BaseRepresentation
bin100110010110…
…001110000000
3200220201102002
4212112032000
510033134410
6555243132
7151305344
oct46261600
920821362
1010052480
115746639
1234494a8
13210c719
141499624
15d387a5
hex996380

10052480 has 64 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 3956736.

The previous prime is 10052467. The next prime is 10052507. The reversal of 10052480 is 8425001.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72251 + ... + 72389.

Almost surely, 210052480 is an apocalyptic number.

10052480 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 10052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

10052480 is an abundant number, since it is smaller than the sum of its proper divisors (14366320).

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

10052480 is a wasteful number, since it uses less digits than its factorization.

10052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10052480 is about 3170.5646184867. The cubic root of 10052480 is about 215.8196940675.

Adding to 10052480 its reverse (8425001), we get a palindrome (18477481).

The spelling of 10052480 in words is "ten million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 139 160 226 278 320 452 556 565 640 695 904 1112 1130 1390 1808 2224 2260 2780 3616 4448 4520 5560 7232 8896 9040 11120 14464 15707 17792 18080 22240 31414 36160 44480 62828 72320 78535 88960 125656 157070 251312 314140 502624 628280 1005248 1256560 2010496 2513120 5026240 10052480