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10058904 = 233419243
BaseRepresentation
bin100110010111…
…110010011000
3200221001020000
4212113302120
510033341104
6555333000
7151333152
oct46276230
920831200
1010058904
115750449
123451160
13211261b
14149bad2
15d3a639
hex997c98

10058904 has 120 divisors (see below), whose sum is σ = 30426660. Its totient is φ = 3102624.

The previous prime is 10058903. The next prime is 10058927. The reversal of 10058904 is 40985001.

10058904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058903) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 233907 + ... + 233949.

Almost surely, 210058904 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 10058904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213330).

10058904 is an abundant number, since it is smaller than the sum of its proper divisors (20367756).

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

10058904 is a wasteful number, since it uses less digits than its factorization.

10058904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10058904 is about 3171.5775254595. The cubic root of 10058904 is about 215.8656572026.

The spelling of 10058904 in words is "ten million, fifty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 43 54 57 72 76 81 86 108 114 129 152 162 171 172 216 228 258 324 342 344 361 387 456 513 516 648 684 722 774 817 1026 1032 1083 1161 1368 1444 1539 1548 1634 2052 2166 2322 2451 2888 3078 3096 3249 3268 3483 4104 4332 4644 4902 6156 6498 6536 6966 7353 8664 9288 9747 9804 12312 12996 13932 14706 15523 19494 19608 22059 25992 27864 29241 29412 31046 38988 44118 46569 58482 58824 62092 66177 77976 88236 93138 116964 124184 132354 139707 176472 186276 233928 264708 279414 372552 419121 529416 558828 838242 1117656 1257363 1676484 2514726 3352968 5029452 10058904