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10214532 = 2233271349
BaseRepresentation
bin100110111101…
…110010000100
3201012221201000
4212331302010
510103331112
61002533300
7152551656
oct46756204
921187630
1010214532
115847369
123507230
132168403
1414dc6d6
15d6b7dc
hex9bdc84

10214532 has 48 divisors (see below), whose sum is σ = 26656000. Its totient is φ = 3382560.

The previous prime is 10214527. The next prime is 10214537. The reversal of 10214532 is 23541201.

10214532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10214527) and next prime (10214537).

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

It is not an unprimeable number, because it can be changed into a prime (10214537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29094 + ... + 29442.

Almost surely, 210214532 is an apocalyptic number.

10214532 is a gapful number since it is divisible by the number (12) 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 10214532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328000).

10214532 is an abundant number, since it is smaller than the sum of its proper divisors (16441468).

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

10214532 is a wasteful number, since it uses less digits than its factorization.

10214532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10214532 is about 3196.0181476331. The cubic root of 10214532 is about 216.9732317778.

Adding to 10214532 its reverse (23541201), we get a palindrome (33755733).

The spelling of 10214532 in words is "ten million, two hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 349 542 698 813 1047 1084 1396 1626 2094 2439 3141 3252 4188 4878 6282 7317 9423 9756 12564 14634 18846 29268 37692 94579 189158 283737 378316 567474 851211 1134948 1702422 2553633 3404844 5107266 10214532