Search a number
-
+
101888836 = 22741032
BaseRepresentation
bin1100001001010…
…11001101000100
321002201111012121
412010223031010
5202040420321
614035455324
72345020000
oct604531504
9232644177
10101888836
1152571655
122a157544
131815546a
14d763700
158e29441
hex612b344

101888836 has 45 divisors (see below), whose sum is σ = 210049791. Its totient is φ = 43242696.

The previous prime is 101888789. The next prime is 101888851. The reversal of 101888836 is 638888101.

The square root of 101888836 is 10094.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 101888792 and 101888801.

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 14 ways as a sum of consecutive naturals, for example, 989161 + ... + 989263.

Almost surely, 2101888836 is an apocalyptic number.

101888836 is the 10094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101888836

101888836 is an abundant number, since it is smaller than the sum of its proper divisors (108160955).

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

101888836 is an frugal number, since it uses more digits than its factorization.

101888836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The cubic root of 101888836 is about 467.0630742893.

The spelling of 101888836 in words is "one hundred one million, eight hundred eighty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 343 412 686 721 1372 1442 2401 2884 4802 5047 9604 10094 10609 20188 21218 35329 42436 70658 74263 141316 148526 247303 297052 494606 519841 989212 1039682 2079364 3638887 7277774 14555548 25472209 50944418 101888836