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10143328 = 251337659
BaseRepresentation
bin100110101100…
…011001100000
3201002100000211
4212230121200
510044041303
61001223504
7152134246
oct46543140
921070024
1010143328
1157a8918
123491b94
132141b90
1414c0796
15d5566d
hex9ac660

10143328 has 48 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 4548096.

The previous prime is 10143323. The next prime is 10143361. The reversal of 10143328 is 82334101.

It is a junction number, because it is equal to n+sod(n) for n = 10143299 and 10143308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15063 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 210143328 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 10143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

10143328 is an abundant number, since it is smaller than the sum of its proper divisors (11977232).

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

10143328 is a wasteful number, since it uses less digits than its factorization.

10143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10143328 is about 3184.8591805604. The cubic root of 10143328 is about 216.4678929110.

Adding to 10143328 its reverse (82334101), we get a palindrome (92477429).

The spelling of 10143328 in words is "ten million, one hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 659 962 1184 1318 1924 2636 3848 5272 7696 8567 10544 15392 17134 21088 24383 34268 48766 68536 97532 137072 195064 274144 316979 390128 633958 780256 1267916 2535832 5071664 10143328