Search a number
-
+
102490576 = 2423212109
BaseRepresentation
bin1100001101111…
…10000111010000
321010212001122021
412012332013100
5202214144301
614100421224
72353104226
oct606760720
9233761567
10102490576
1152942761
122a3a7814
1318306316
14d87cb16
158ee78a1
hex61be1d0

102490576 has 30 divisors (see below), whose sum is σ = 207601730. Its totient is φ = 49013184.

The previous prime is 102490573. The next prime is 102490589. The reversal of 102490576 is 675094201.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 76176 = 10120^2 + 276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102490573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2410 + ... + 14518.

Almost surely, 2102490576 is an apocalyptic number.

102490576 is a gapful number since it is divisible by the number (16) 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 102490576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103800865).

102490576 is an abundant number, since it is smaller than the sum of its proper divisors (105111154).

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

102490576 is a wasteful number, since it uses less digits than its factorization.

102490576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 102490576 is about 10123.7629367741. The cubic root of 102490576 is about 467.9807379999.

The spelling of 102490576 in words is "one hundred two million, four hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 12109 24218 48436 96872 193744 278507 557014 1114028 2228056 4456112 6405661 12811322 25622644 51245288 102490576