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10135350 = 23252101223
BaseRepresentation
bin100110101010…
…011100110110
3201001221002100
4212222130312
510043312400
61001122530
7152102061
oct46523466
921057070
1010135350
1157a2925
123489446
13213b364
1414bb8d8
15d53100
hex9aa736

10135350 has 72 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 2664000.

The previous prime is 10135343. The next prime is 10135351. The reversal of 10135350 is 5353101.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (10135351) 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 35 ways as a sum of consecutive naturals, for example, 45339 + ... + 45561.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 210135350 is an apocalyptic number.

10135350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

10135350 is an abundant number, since it is smaller than the sum of its proper divisors (17487882).

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

10135350 is a wasteful number, since it uses less digits than its factorization.

10135350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10135350 is about 3183.6064455268. The cubic root of 10135350 is about 216.4111254207.

Adding to 10135350 its reverse (5353101), we get a palindrome (15488451).

The spelling of 10135350 in words is "ten million, one hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 223 225 303 446 450 505 606 669 909 1010 1115 1338 1515 1818 2007 2230 2525 3030 3345 4014 4545 5050 5575 6690 7575 9090 10035 11150 15150 16725 20070 22523 22725 33450 45046 45450 50175 67569 100350 112615 135138 202707 225230 337845 405414 563075 675690 1013535 1126150 1689225 2027070 3378450 5067675 10135350