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102002440 = 2356174133
BaseRepresentation
bin1100001010001…
…10111100001000
321002221021001011
412011012330020
5202103034230
614042133304
72346002131
oct605067410
9232837034
10102002440
1152639a41
122a1b1234
1318195097
14d792c88
158e4ce2a
hex6146f08

102002440 has 32 divisors (see below), whose sum is σ = 229933080. Its totient is φ = 40724992.

The previous prime is 102002419. The next prime is 102002441. The reversal of 102002440 is 44200201.

It can be written as a sum of positive squares in 4 ways, for example, as 65060356 + 36942084 = 8066^2 + 6078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102002440.

It is not an unprimeable number, because it can be changed into a prime (102002441) 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, 22614 + ... + 26746.

Almost surely, 2102002440 is an apocalyptic number.

102002440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002440 is an abundant number, since it is smaller than the sum of its proper divisors (127930640).

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

102002440 is a wasteful number, since it uses less digits than its factorization.

102002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102002440 is about 10099.6257356399. The cubic root of 102002440 is about 467.2365984536.

Adding to 102002440 its reverse (44200201), we get a palindrome (146202641).

The spelling of 102002440 in words is "one hundred two million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 617 1234 2468 3085 4133 4936 6170 8266 12340 16532 20665 24680 33064 41330 82660 165320 2550061 5100122 10200244 12750305 20400488 25500610 51001220 102002440