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10058328 = 2332722851
BaseRepresentation
bin100110010111…
…101001011000
3200221000102200
4212113221120
510033331303
6555330200
7151331400
oct46275130
920830380
1010058328
11574aa75
123450960
132112297
14149b800
15d3a3a3
hex997a58

10058328 has 72 divisors (see below), whose sum is σ = 31699980. Its totient is φ = 2872800.

The previous prime is 10058327. The next prime is 10058333. The reversal of 10058328 is 82385001.

It is a happy number.

10058328 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

10058328 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2103 + ... + 4953.

Almost surely, 210058328 is an apocalyptic number.

10058328 is a gapful number since it is divisible by the number (18) 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 10058328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849990).

10058328 is an abundant number, since it is smaller than the sum of its proper divisors (21641652).

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

10058328 is a wasteful number, since it uses less digits than its factorization.

10058328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10058328 is about 3171.4867176137. The cubic root of 10058328 is about 215.8615367738.

The spelling of 10058328 in words is "ten million, fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2851 3528 5702 8553 11404 17106 19957 22808 25659 34212 39914 51318 59871 68424 79828 102636 119742 139699 159656 179613 205272 239484 279398 359226 419097 478968 558796 718452 838194 1117592 1257291 1436904 1676388 2514582 3352776 5029164 10058328