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6403072 = 21013237
BaseRepresentation
bin11000011011010000000000
3110001022100211
4120123100000
53114344242
6345123504
7105265564
oct30332000
913038324
106403072
1136837a5
122189594
131432600
14bc96a4
15867317
hex61b400

6403072 has 66 divisors (see below), whose sum is σ = 14234838. Its totient is φ = 2875392.

The previous prime is 6403063. The next prime is 6403127. The reversal of 6403072 is 2703046.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 6071296 = 576^2 + 2464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173038 + ... + 173074.

Almost surely, 26403072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117419).

6403072 is an abundant number, since it is smaller than the sum of its proper divisors (7831766).

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

6403072 is a wasteful number, since it uses less digits than its factorization.

6403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6403072 is about 2530.4292126041. The cubic root of 6403072 is about 185.6932547613.

The spelling of 6403072 in words is "six million, four hundred three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 416 481 512 592 676 832 962 1024 1184 1352 1664 1924 2368 2704 3328 3848 4736 5408 6253 6656 7696 9472 10816 12506 13312 15392 18944 21632 25012 30784 37888 43264 50024 61568 86528 100048 123136 173056 200096 246272 400192 492544 800384 1600768 3201536 6403072