Search a number
-
+
10502080 = 26537887
BaseRepresentation
bin101000000011…
…111111000000
3201202120010221
4220003333000
510142031310
61013032424
7155160211
oct50037700
921676127
1010502080
115a23406
123625714
132239264
141575408
15dc6ada
hexa03fc0

10502080 has 56 divisors (see below), whose sum is σ = 25712928. Its totient is φ = 4082688.

The previous prime is 10502071. The next prime is 10502083. The reversal of 10502080 is 8020501.

It is a happy number.

It is a super-2 number, since 2×105020802 = 220587368652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10502083) 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, 11397 + ... + 12283.

Almost surely, 210502080 is an apocalyptic number.

10502080 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 10502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856464).

10502080 is an abundant number, since it is smaller than the sum of its proper divisors (15210848).

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

10502080 is an equidigital number, since it uses as much as digits as its factorization.

10502080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10502080 is about 3240.6912842787. The cubic root of 10502080 is about 218.9904154045.

Adding to 10502080 its reverse (8020501), we get a palindrome (18522581).

The spelling of 10502080 in words is "ten million, five hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 887 1184 1480 1774 2368 2960 3548 4435 5920 7096 8870 11840 14192 17740 28384 32819 35480 56768 65638 70960 131276 141920 164095 262552 283840 328190 525104 656380 1050208 1312760 2100416 2625520 5251040 10502080