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4053440 = 26553239
BaseRepresentation
bin1111011101100111000000
321121221021102
433131213000
52014202230
6222513532
746311416
oct17354700
97557242
104053440
112319456
1214358a8
13abbcb1
147772b6
15551045
hex3dd9c0

4053440 has 56 divisors (see below), whose sum is σ = 9875520. Its totient is φ = 1584128.

The previous prime is 4053437. The next prime is 4053443. The reversal of 4053440 is 443504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4053437) and next prime (4053443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053443) 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, 16841 + ... + 17079.

Almost surely, 24053440 is an apocalyptic number.

4053440 is a gapful number since it is divisible by the number (40) 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 4053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937760).

4053440 is an abundant number, since it is smaller than the sum of its proper divisors (5822080).

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

4053440 is a wasteful number, since it uses less digits than its factorization.

4053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4053440 is about 2013.3156732117. The cubic root of 4053440 is about 159.4439027969.

Adding to 4053440 its reverse (443504), we get a palindrome (4496944).

The spelling of 4053440 in words is "four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 239 265 320 424 478 530 848 956 1060 1195 1696 1912 2120 2390 3392 3824 4240 4780 7648 8480 9560 12667 15296 16960 19120 25334 38240 50668 63335 76480 101336 126670 202672 253340 405344 506680 810688 1013360 2026720 4053440