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10059104 = 251117412
BaseRepresentation
bin100110010111…
…110101100000
3200221001111102
4212113311200
510033342404
6555333532
7151333556
oct46276540
920831442
1010059104
115750610
1234512a8
132112743
14149bbd6
15d3a71e
hex997d60

10059104 has 72 divisors (see below), whose sum is σ = 23446584. Its totient is φ = 4198400.

The previous prime is 10059089. The next prime is 10059107. The reversal of 10059104 is 40195001.

10059104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245324 + ... + 245364.

It is an arithmetic number, because the mean of its divisors is an integer number (325647).

Almost surely, 210059104 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 10059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723292).

10059104 is an abundant number, since it is smaller than the sum of its proper divisors (13387480).

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

10059104 is a wasteful number, since it uses less digits than its factorization.

10059104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 10059104 is about 3171.6090553534. The cubic root of 10059104 is about 215.8670878702.

The spelling of 10059104 in words is "ten million, fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 41 44 68 82 88 136 164 176 187 272 328 352 374 451 544 656 697 748 902 1312 1394 1496 1681 1804 2788 2992 3362 3608 5576 5984 6724 7216 7667 11152 13448 14432 15334 18491 22304 26896 28577 30668 36982 53792 57154 61336 73964 114308 122672 147928 228616 245344 295856 314347 457232 591712 628694 914464 1257388 2514776 5029552 10059104