Search a number
-
+
10212104 = 237172631
BaseRepresentation
bin100110111101…
…001100001000
3201012211101002
4212331030020
510103241404
61002514132
7152541620
oct46751410
921184332
1010212104
115845561
123505948
132167286
1414db880
15d6ac1e
hex9bd308

10212104 has 48 divisors (see below), whose sum is σ = 23282880. Its totient is φ = 4112640.

The previous prime is 10212077. The next prime is 10212119. The reversal of 10212104 is 40121201.

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 11 ways as a sum of consecutive naturals, for example, 15869 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (485060).

Almost surely, 210212104 is an apocalyptic number.

10212104 is a gapful number since it is divisible by the number (14) 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 10212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641440).

10212104 is an abundant number, since it is smaller than the sum of its proper divisors (13070776).

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

10212104 is a wasteful number, since it uses less digits than its factorization.

10212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10212104 is about 3195.6382774025. The cubic root of 10212104 is about 216.9560388624.

Adding to 10212104 its reverse (40121201), we get a palindrome (50333305).

It can be divided in two parts, 1021 and 2104, that added together give a 5-th power (3125 = 55).

The spelling of 10212104 in words is "ten million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 631 952 1156 1262 2023 2312 2524 4046 4417 5048 8092 8834 10727 16184 17668 21454 35336 42908 75089 85816 150178 182359 300356 364718 600712 729436 1276513 1458872 2553026 5106052 10212104