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10132374 = 2371723617
BaseRepresentation
bin100110101001…
…101110010110
3201001210000010
4212221232112
510043213444
61001101050
7152060310
oct46515626
921053003
1010132374
1157a066a
123487786
132139bb5
1414ba7b0
15d522b9
hex9a9b96

10132374 has 64 divisors (see below), whose sum is σ = 25629696. Its totient is φ = 2601984.

The previous prime is 10132373. The next prime is 10132393. The reversal of 10132374 is 47323101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10132374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132373) 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 31 ways as a sum of consecutive naturals, for example, 16114 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (400464).

Almost surely, 210132374 is an apocalyptic number.

10132374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814848).

10132374 is an abundant number, since it is smaller than the sum of its proper divisors (15497322).

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

10132374 is a wasteful number, since it uses less digits than its factorization.

10132374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10132374 is about 3183.1390167569. The cubic root of 10132374 is about 216.3899420524.

Adding to 10132374 its reverse (47323101), we get a palindrome (57455475).

The spelling of 10132374 in words is "ten million, one hundred thirty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 617 714 782 966 1173 1234 1851 2346 2737 3702 4319 5474 8211 8638 10489 12957 14191 16422 20978 25914 28382 31467 42573 62934 73423 85146 99337 146846 198674 220269 241247 298011 440538 482494 596022 723741 1447482 1688729 3377458 5066187 10132374