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102415000 = 235420483
BaseRepresentation
bin1100001101010…
…11101010011000
321010201012222011
412012223222120
5202204240000
614055035304
72352341002
oct606535230
9233635864
10102415000
11528a09a6
122a36bb34
13182aaabc
14d85d372
158ed02ba
hex61aba98

102415000 has 40 divisors (see below), whose sum is σ = 239970060. Its totient is φ = 40964000.

The previous prime is 102414947. The next prime is 102415003. The reversal of 102415000 is 514201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102415003) 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 9 ways as a sum of consecutive naturals, for example, 5242 + ... + 15241.

Almost surely, 2102415000 is an apocalyptic number.

102415000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102415000 is an abundant number, since it is smaller than the sum of its proper divisors (137555060).

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

102415000 is an equidigital number, since it uses as much as digits as its factorization.

102415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20509 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102415000 is about 10120.0296442254. The cubic root of 102415000 is about 467.8656808873.

Adding to 102415000 its reverse (514201), we get a palindrome (102929201).

The spelling of 102415000 in words is "one hundred two million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 20483 40966 81932 102415 163864 204830 409660 512075 819320 1024150 2048300 2560375 4096600 5120750 10241500 12801875 20483000 25603750 51207500 102415000