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10487328 = 253293767
BaseRepresentation
bin101000000000…
…011000100000
3201201210220120
4220000120200
510141043303
61012440240
7155066205
oct50003040
921653816
1010487328
115a13315
123619080
132232627
14156dcac
15dc2553
hexa00620

10487328 has 48 divisors (see below), whose sum is σ = 28486080. Its totient is φ = 3374336.

The previous prime is 10487327. The next prime is 10487371. The reversal of 10487328 is 82378401.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10487327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (593460).

Almost surely, 210487328 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 10487328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243040).

10487328 is an abundant number, since it is smaller than the sum of its proper divisors (17998752).

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

10487328 is a wasteful number, since it uses less digits than its factorization.

10487328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 10487328 is about 3238.4144268453. The cubic root of 10487328 is about 218.8878306336.

The spelling of 10487328 in words is "ten million, four hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3767 7534 11301 15068 22602 30136 45204 60272 90408 109243 120544 180816 218486 327729 361632 436972 655458 873944 1310916 1747888 2621832 3495776 5243664 10487328