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10258092 = 22321323953
BaseRepresentation
bin100111001000…
…011010101100
3201022011110100
4213020122230
510111224332
61003511100
7153122655
oct47103254
921264410
1010258092
115877069
123528490
1321821a0
14151052c
15d7967c
hex9c86ac

10258092 has 72 divisors (see below), whose sum is σ = 29169504. Its totient is φ = 3015936.

The previous prime is 10258091. The next prime is 10258103. The reversal of 10258092 is 29085201.

It is not an unprimeable number, because it can be changed into a prime (10258091) 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 23 ways as a sum of consecutive naturals, for example, 10288 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 210258092 is an apocalyptic number.

10258092 is a gapful number since it is divisible by the number (12) 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 10258092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584752).

10258092 is an abundant number, since it is smaller than the sum of its proper divisors (18911412).

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

10258092 is a wasteful number, since it uses less digits than its factorization.

10258092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 994 counting only the distinct ones).

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

The square root of 10258092 is about 3202.8256274733. The cubic root of 10258092 is about 217.2812227387.

The spelling of 10258092 in words is "ten million, two hundred fifty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 953 1196 1794 1906 2691 2859 3588 3812 5382 5718 8577 10764 11436 12389 17154 21919 24778 34308 37167 43838 49556 65757 74334 87676 111501 131514 148668 197271 223002 263028 284947 394542 446004 569894 789084 854841 1139788 1709682 2564523 3419364 5129046 10258092