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10058370 = 2357211227
BaseRepresentation
bin100110010111…
…101010000010
3200221000111020
4212113222002
510033331440
6555330310
7151331460
oct46275202
920830436
1010058370
115750003
123450996
1321122ca
14149b830
15d3a3d0
hex997a82

10058370 has 64 divisors (see below), whose sum is σ = 27841536. Its totient is φ = 2278080.

The previous prime is 10058333. The next prime is 10058371. The reversal of 10058370 is 7385001.

Added to its reverse (7385001) it gives a triangular number (17443371 = T5906).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10058370.

It is not an unprimeable number, because it can be changed into a prime (10058371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44197 + ... + 44423.

It is an arithmetic number, because the mean of its divisors is an integer number (435024).

Almost surely, 210058370 is an apocalyptic number.

10058370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10058370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920768).

10058370 is an abundant number, since it is smaller than the sum of its proper divisors (17783166).

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

10058370 is a wasteful number, since it uses less digits than its factorization.

10058370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10058370 is about 3171.4933391070. The cubic root of 10058370 is about 215.8618372271.

Adding to 10058370 its reverse (7385001), we get a triangular number (17443371 = T5906).

The spelling of 10058370 in words is "ten million, fifty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 227 422 454 633 681 1055 1135 1266 1362 1477 1589 2110 2270 2954 3165 3178 3405 4431 4767 6330 6810 7385 7945 8862 9534 14770 15890 22155 23835 44310 47670 47897 95794 143691 239485 287382 335279 478970 670558 718455 1005837 1436910 1676395 2011674 3352790 5029185 10058370