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10575000 = 23325547
BaseRepresentation
bin101000010101…
…110010011000
3201220021011200
4220111302120
510201400000
61014354200
7155612622
oct50256230
921807150
1010575000
115a73177
12365b960
1322634c7
141593c12
15ddd500
hexa15c98

10575000 has 144 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2760000.

The previous prime is 10574989. The next prime is 10575011. The reversal of 10575000 is 57501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10574989) and next prime (10575011).

It is a super-2 number, since 2×105750002 = 223661250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224977 + ... + 225023.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 210575000 is an apocalyptic number.

10575000 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 10575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

10575000 is an abundant number, since it is smaller than the sum of its proper divisors (25985160).

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

10575000 is an equidigital number, since it uses as much as digits as its factorization.

10575000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10575000 is about 3251.9225083018. The cubic root of 10575000 is about 219.4960918630.

The spelling of 10575000 in words is "ten million, five hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 72 75 90 94 100 120 125 141 150 180 188 200 225 235 250 282 300 360 375 376 423 450 470 500 564 600 625 705 750 846 900 940 1000 1125 1128 1175 1250 1410 1500 1692 1800 1875 1880 2115 2250 2350 2500 2820 3000 3125 3384 3525 3750 4230 4500 4700 5000 5625 5640 5875 6250 7050 7500 8460 9000 9375 9400 10575 11250 11750 12500 14100 15000 16920 17625 18750 21150 22500 23500 25000 28125 28200 29375 35250 37500 42300 45000 47000 52875 56250 58750 70500 75000 84600 88125 105750 112500 117500 141000 146875 176250 211500 225000 235000 264375 293750 352500 423000 440625 528750 587500 705000 881250 1057500 1175000 1321875 1762500 2115000 2643750 3525000 5287500 10575000