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10857990 = 23511132531
BaseRepresentation
bin101001011010…
…111000000110
3202102122100210
4221122320012
510234423430
61024420250
7161201643
oct51327006
922378323
1010857990
116146850
123777686
132332260
141628dca
15e472b0
hexa5ae06

10857990 has 64 divisors (see below), whose sum is σ = 30627072. Its totient is φ = 2428800.

The previous prime is 10857941. The next prime is 10858021. The reversal of 10857990 is 9975801.

10857990 = T316 + T317 + ... + T458.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 3025 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (478548).

Almost surely, 210857990 is an apocalyptic number.

10857990 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 10857990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313536).

10857990 is an abundant number, since it is smaller than the sum of its proper divisors (19769082).

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

10857990 is a wasteful number, since it uses less digits than its factorization.

10857990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565.

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 10857990 is about 3295.1464307372. The cubic root of 10857990 is about 221.4368079786.

The spelling of 10857990 in words is "ten million, eight hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 2531 4290 5062 7593 12655 15186 25310 27841 32903 37965 55682 65806 75930 83523 98709 139205 164515 167046 197418 278410 329030 361933 417615 493545 723866 835230 987090 1085799 1809665 2171598 3619330 5428995 10857990