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10471400 = 2352411277
BaseRepresentation
bin100111111100…
…011111101000
3201201000001122
4213330133220
510140041100
61012234412
7155001602
oct47743750
921630048
1010471400
115a02355
12360ba08
1322282c4
141568172
15dbc985
hex9fc7e8

10471400 has 48 divisors (see below), whose sum is σ = 24959340. Its totient is φ = 4083200.

The previous prime is 10471399. The next prime is 10471421. The reversal of 10471400 is 417401.

It can be written as a sum of positive squares in 6 ways, for example, as 1909924 + 8561476 = 1382^2 + 2926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7562 + ... + 8838.

Almost surely, 210471400 is an apocalyptic number.

10471400 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 10471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479670).

10471400 is an abundant number, since it is smaller than the sum of its proper divisors (14487940).

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

10471400 is a wasteful number, since it uses less digits than its factorization.

10471400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10471400 is about 3235.9542642009. The cubic root of 10471400 is about 218.7769599425.

Adding to 10471400 its reverse (417401), we get a palindrome (10888801).

The spelling of 10471400 in words is "ten million, four hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1277 1640 2050 2554 4100 5108 6385 8200 10216 12770 25540 31925 51080 52357 63850 104714 127700 209428 255400 261785 418856 523570 1047140 1308925 2094280 2617850 5235700 10471400