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103454416 = 24133531409
BaseRepresentation
bin1100010101010…
…01011011010000
321012200000210001
412022221123100
5202441020131
614133215344
72364230242
oct612513320
9235600701
10103454416
115344091a
122a791554
1318582c40
14da50092
159138261
hex62a96d0

103454416 has 40 divisors (see below), whose sum is σ = 216626760. Its totient is φ = 47579136.

The previous prime is 103454413. The next prime is 103454423. The reversal of 103454416 is 614454301.

It can be written as a sum of positive squares in 4 ways, for example, as 3534400 + 99920016 = 1880^2 + 9996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103454413) 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, 72720 + ... + 74128.

It is an arithmetic number, because the mean of its divisors is an integer number (5415669).

Almost surely, 2103454416 is an apocalyptic number.

103454416 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 103454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108313380).

103454416 is an abundant number, since it is smaller than the sum of its proper divisors (113172344).

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

103454416 is a wasteful number, since it uses less digits than its factorization.

103454416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 103454416 is about 10171.2543965826. The cubic root of 103454416 is about 469.4431552216.

The spelling of 103454416 in words is "one hundred three million, four hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1409 1412 2818 2824 4589 5636 5648 9178 11272 18317 18356 22544 36634 36712 73268 73424 146536 293072 497377 994754 1989508 3979016 6465901 7958032 12931802 25863604 51727208 103454416