Search a number
-
+
102453424 = 2417419187
BaseRepresentation
bin1100001101101…
…01000010110000
321010210011200021
412012311002300
5202212002144
614055533224
72352561013
oct606650260
9233704607
10102453424
1152917857
122a38a214
13182c2438
14d86d37a
158edb884
hex61b50b0

102453424 has 40 divisors (see below), whose sum is σ = 215329968. Its totient is φ = 47032320.

The previous prime is 102453413. The next prime is 102453427. The reversal of 102453424 is 424354201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102453427) 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 7 ways as a sum of consecutive naturals, for example, 6559 + ... + 15745.

Almost surely, 2102453424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102453424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107664984).

102453424 is an abundant number, since it is smaller than the sum of its proper divisors (112876544).

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

102453424 is a wasteful number, since it uses less digits than its factorization.

102453424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9247 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 102453424 is about 10121.9278796087. The cubic root of 102453424 is about 467.9241847626.

The spelling of 102453424 in words is "one hundred two million, four hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 9187 11152 18374 36748 73496 146992 156179 312358 376667 624716 753334 1249432 1506668 2498864 3013336 6026672 6403339 12806678 25613356 51226712 102453424