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10058412 = 22371361151
BaseRepresentation
bin100110010111…
…101010101100
3200221000112210
4212113222230
510033332122
6555330420
7151331550
oct46275254
920830483
1010058412
115750041
123450a10
132112330
14149b860
15d3a40c
hex997aac

10058412 has 96 divisors (see below), whose sum is σ = 29553664. Its totient is φ = 2592000.

The previous prime is 10058401. The next prime is 10058417. The reversal of 10058412 is 21485001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10058417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66537 + ... + 66687.

Almost surely, 210058412 is an apocalyptic number.

10058412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3171×3172.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10058412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776832).

10058412 is an abundant number, since it is smaller than the sum of its proper divisors (19495252).

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

10058412 is a wasteful number, since it uses less digits than its factorization.

10058412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10058412 is about 3171.4999605865. The cubic root of 10058412 is about 215.8621376795.

The spelling of 10058412 in words is "ten million, fifty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 151 156 182 183 244 273 302 364 366 427 453 546 604 732 793 854 906 1057 1092 1281 1586 1708 1812 1963 2114 2379 2562 3171 3172 3926 4228 4758 5124 5551 5889 6342 7852 9211 9516 11102 11778 12684 13741 16653 18422 22204 23556 27482 27633 33306 36844 41223 54964 55266 64477 66612 82446 110532 119743 128954 164892 193431 239486 257908 359229 386862 478972 718458 773724 838201 1436916 1676402 2514603 3352804 5029206 10058412