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10625280 = 28352767
BaseRepresentation
bin101000100010…
…000100000000
3201222211010220
4220202010000
510210002110
61015423040
7156212331
oct50420400
921884126
1010625280
115aa7a26
123684a80
132280363
1415a8288
15ded370
hexa22100

10625280 has 72 divisors (see below), whose sum is σ = 33946752. Its totient is φ = 2832384.

The previous prime is 10625239. The next prime is 10625291. The reversal of 10625280 is 8252601.

It is a super-2 number, since 2×106252802 = 225793150156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10625280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457 + ... + 5223.

Almost surely, 210625280 is an apocalyptic number.

10625280 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 10625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973376).

10625280 is an abundant number, since it is smaller than the sum of its proper divisors (23321472).

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

10625280 is an equidigital number, since it uses as much as digits as its factorization.

10625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10625280 is about 3259.6441523577. The cubic root of 10625280 is about 219.8434147475.

Adding to 10625280 its reverse (8252601), we get a palindrome (18877881).

The spelling of 10625280 in words is "ten million, six hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2767 3840 5534 8301 11068 13835 16602 22136 27670 33204 41505 44272 55340 66408 83010 88544 110680 132816 166020 177088 221360 265632 332040 354176 442720 531264 664080 708352 885440 1062528 1328160 1770880 2125056 2656320 3541760 5312640 10625280