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10141352 = 23133577
BaseRepresentation
bin100110101011…
…111010101000
3201002020022122
4212223322220
510044010402
61001210412
7152125424
oct46537250
921066278
1010141352
1157a7391
123490a08
132141000
1414bdb84
15d54ca2
hex9abea8

10141352 has 32 divisors (see below), whose sum is σ = 20634600. Its totient is φ = 4672512.

The previous prime is 10141343. The next prime is 10141357. The reversal of 10141352 is 25314101.

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 7365796 = 1666^2 + 2714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10141352.

It is not an unprimeable number, because it can be changed into a prime (10141357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17288 + ... + 17864.

Almost surely, 210141352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317300).

10141352 is an abundant number, since it is smaller than the sum of its proper divisors (10493248).

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

10141352 is an equidigital number, since it uses as much as digits as its factorization.

10141352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10141352 is about 3184.5489476533. The cubic root of 10141352 is about 216.4538354492.

Adding to 10141352 its reverse (25314101), we get a palindrome (35455453).

The spelling of 10141352 in words is "ten million, one hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 577 676 1154 1352 2197 2308 4394 4616 7501 8788 15002 17576 30004 60008 97513 195026 390052 780104 1267669 2535338 5070676 10141352