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10427352 = 23313191759
BaseRepresentation
bin100111110001…
…101111011000
3201121202122020
4213301233120
510132133402
61011254440
7154426305
oct47615730
921552566
1010427352
115982251
1235aa420
132211240
1415560ac
15dae8bc
hex9f1bd8

10427352 has 64 divisors (see below), whose sum is σ = 29568000. Its totient is φ = 3037824.

The previous prime is 10427321. The next prime is 10427353. The reversal of 10427352 is 25372401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427353) 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, 5049 + ... + 6807.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 210427352 is an apocalyptic number.

10427352 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 10427352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784000).

10427352 is an abundant number, since it is smaller than the sum of its proper divisors (19140648).

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

10427352 is a wasteful number, since it uses less digits than its factorization.

10427352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10427352 is about 3229.1410622641. The cubic root of 10427352 is about 218.4697666523.

Adding to 10427352 its reverse (25372401), we get a palindrome (35799753).

The spelling of 10427352 in words is "ten million, four hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1759 1976 2964 3518 5277 5928 7036 10554 14072 21108 22867 33421 42216 45734 66842 68601 91468 100263 133684 137202 182936 200526 267368 274404 401052 434473 548808 802104 868946 1303419 1737892 2606838 3475784 5213676 10427352