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102425000 = 235517241
BaseRepresentation
bin1100001101011…
…10000110101000
321010201201200112
412012232012220
5202210100000
614055153452
72352412106
oct606560650
9233651615
10102425000
11528a8467
122a375888
13182b2512
14d862c76
158ed3235
hex61ae1a8

102425000 has 96 divisors (see below), whose sum is σ = 255218040. Its totient is φ = 38400000.

The previous prime is 102424997. The next prime is 102425021. The reversal of 102425000 is 524201.

It can be written as a sum of positive squares in 12 ways, for example, as 20811844 + 81613156 = 4562^2 + 9034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424880 + ... + 425120.

Almost surely, 2102425000 is an apocalyptic number.

102425000 is a gapful number since it is divisible by the number (10) 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 102425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609020).

102425000 is an abundant number, since it is smaller than the sum of its proper divisors (152793040).

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

102425000 is an equidigital number, since it uses as much as digits as its factorization.

102425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 102425000 is about 10120.5237018644. The cubic root of 102425000 is about 467.8809081637.

Adding to 102425000 its reverse (524201), we get a palindrome (102949201).

The spelling of 102425000 in words is "one hundred two million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 241 250 340 425 482 500 625 680 850 964 1000 1205 1250 1700 1928 2125 2410 2500 3125 3400 4097 4250 4820 5000 6025 6250 8194 8500 9640 10625 12050 12500 16388 17000 20485 21250 24100 25000 30125 32776 40970 42500 48200 53125 60250 81940 85000 102425 106250 120500 150625 163880 204850 212500 241000 301250 409700 425000 512125 602500 753125 819400 1024250 1205000 1506250 2048500 2560625 3012500 4097000 5121250 6025000 10242500 12803125 20485000 25606250 51212500 102425000