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102422416 = 2417616173
BaseRepresentation
bin1100001101011…
…01011110010000
321010201121010211
412012231132100
5202210004131
614055133504
72352401425
oct606553620
9233647124
10102422416
11528a6528
122a374294
13182b12a5
14d861d4c
158ed25b1
hex61ad790

102422416 has 40 divisors (see below), whose sum is σ = 213595704. Its totient is φ = 47400960.

The previous prime is 102422393. The next prime is 102422423. The reversal of 102422416 is 614224201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 101203600 = 1104^2 + 10060^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13506 + ... + 19678.

Almost surely, 2102422416 is an apocalyptic number.

102422416 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 102422416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106797852).

102422416 is an abundant number, since it is smaller than the sum of its proper divisors (111173288).

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

102422416 is a wasteful number, since it uses less digits than its factorization.

102422416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 102422416 is about 10120.3960396815. The cubic root of 102422416 is about 467.8769735305.

Adding to 102422416 its reverse (614224201), we get a palindrome (716646617).

The spelling of 102422416 in words is "one hundred two million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 4148 6173 8296 12346 16592 24692 49384 98768 104941 209882 376553 419764 753106 839528 1506212 1679056 3012424 6024848 6401401 12802802 25605604 51211208 102422416