Search a number
-
+
10252480 = 265723199
BaseRepresentation
bin100111000111…
…000011000000
3201021212202111
4213013003000
510111034410
61003425104
7153100420
oct47070300
921255674
1010252480
115872927
123525194
13217c774
14150c480
15d77b8a
hex9c70c0

10252480 has 112 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 3345408.

The previous prime is 10252477. The next prime is 10252481. The reversal of 10252480 is 8425201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×102524802 = 210226692300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10252481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51421 + ... + 51619.

Almost surely, 210252480 is an apocalyptic number.

10252480 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 10252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

10252480 is an abundant number, since it is smaller than the sum of its proper divisors (19008320).

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

10252480 is a wasteful number, since it uses less digits than its factorization.

10252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 10252480 is about 3201.9494062212. The cubic root of 10252480 is about 217.2415920856.

Adding to 10252480 its reverse (8425201), we get a palindrome (18677681).

The spelling of 10252480 in words is "ten million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 199 224 230 280 320 322 368 398 448 460 560 644 736 796 805 920 995 1120 1288 1393 1472 1592 1610 1840 1990 2240 2576 2786 3184 3220 3680 3980 4577 5152 5572 6368 6440 6965 7360 7960 9154 10304 11144 12736 12880 13930 15920 18308 22288 22885 25760 27860 31840 32039 36616 44576 45770 51520 55720 63680 64078 73232 89152 91540 111440 128156 146464 160195 183080 222880 256312 292928 320390 366160 445760 512624 640780 732320 1025248 1281560 1464640 2050496 2563120 5126240 10252480