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102402016 = 2517296491
BaseRepresentation
bin1100001101010…
…00011111100000
321010200120011021
412012220133200
5202203331031
614054455224
72352255103
oct606503740
9233616137
10102402016
1152892172
122a364514
13182a4c12
14d85873a
158ecb511
hex61a87e0

102402016 has 48 divisors (see below), whose sum is σ = 220857840. Its totient is φ = 46520320.

The previous prime is 102402011. The next prime is 102402023. The reversal of 102402016 is 610204201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102402011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12531 + ... + 19021.

It is an arithmetic number, because the mean of its divisors is an integer number (4601205).

Almost surely, 2102402016 is an apocalyptic number.

102402016 is a gapful number since it is divisible by the number (16) 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 102402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110428920).

102402016 is an abundant number, since it is smaller than the sum of its proper divisors (118455824).

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

102402016 is a wasteful number, since it uses less digits than its factorization.

102402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 102402016 is about 10119.3881237948. The cubic root of 102402016 is about 467.8459083125.

Adding to 102402016 its reverse (610204201), we get a palindrome (712606217).

The spelling of 102402016 in words is "one hundred two million, four hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 6491 7888 12982 15776 25964 51928 103856 110347 188239 207712 220694 376478 441388 752956 882776 1505912 1765552 3011824 3200063 3531104 6023648 6400126 12800252 25600504 51201008 102402016