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102285824 = 29199777
BaseRepresentation
bin1100001100011…
…00001000000000
321010110122202212
412012030020000
5202141121244
614052201252
72351262254
oct606141000
9233418685
10102285824
1152812943
122a309228
1318264074
14d828264
158ea6d9e
hex618c200

102285824 has 20 divisors (see below), whose sum is σ = 204372894. Its totient is φ = 51142656.

The previous prime is 102285817. The next prime is 102285829. The reversal of 102285824 is 428582201.

It can be written as a sum of positive squares in only one way, i.e., 70023424 + 32262400 = 8368^2 + 5680^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102285829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99377 + ... + 100400.

Almost surely, 2102285824 is an apocalyptic number.

It is an amenable number.

102285824 is a deficient number, since it is larger than the sum of its proper divisors (102087070).

102285824 is an frugal number, since it uses more digits than its factorization.

102285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199795 (or 199779 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 102285824 is about 10113.6454357467. The cubic root of 102285824 is about 467.6688918598.

The spelling of 102285824 in words is "one hundred two million, two hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 199777 399554 799108 1598216 3196432 6392864 12785728 25571456 51142912 102285824