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10553000 = 235361173
BaseRepresentation
bin101000010000…
…011010101000
3201212010222212
4220100122220
510200144000
61014104252
7155461523
oct50203250
921763885
1010553000
115a58697
12364b088
1322564a3
141589bba
15dd6c35
hexa106a8

10553000 has 64 divisors (see below), whose sum is σ = 25243920. Its totient is φ = 4128000.

The previous prime is 10552991. The next prime is 10553009. The reversal of 10553000 is 35501.

It is an interprime number because it is at equal distance from previous prime (10552991) and next prime (10553009).

It can be written as a sum of positive squares in 8 ways, for example, as 145924 + 10407076 = 382^2 + 3226^2 .

It is a super-2 number, since 2×105530002 = 222731618000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10553009) 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, 60914 + ... + 61086.

Almost surely, 210553000 is an apocalyptic number.

10553000 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 10553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621960).

10553000 is an abundant number, since it is smaller than the sum of its proper divisors (14690920).

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

10553000 is a wasteful number, since it uses less digits than its factorization.

10553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10553000 is about 3248.5381327606. The cubic root of 10553000 is about 219.3437745563.

Adding to 10553000 its reverse (35501), we get a palindrome (10588501).

The spelling of 10553000 in words is "ten million, five hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 173 200 244 250 305 346 488 500 610 692 865 1000 1220 1384 1525 1730 2440 3050 3460 4325 6100 6920 7625 8650 10553 12200 15250 17300 21106 21625 30500 34600 42212 43250 52765 61000 84424 86500 105530 173000 211060 263825 422120 527650 1055300 1319125 2110600 2638250 5276500 10553000