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5405440 = 28541103
BaseRepresentation
bin10100100111101100000000
3101011121212111
4110213230000
52340433230
6311505104
763642205
oct24475400
911147774
105405440
113062207
121988194
1311734b1
14a09cac
1571b92a
hex527b00

5405440 has 72 divisors (see below), whose sum is σ = 13392288. Its totient is φ = 2088960.

The previous prime is 5405381. The next prime is 5405447. The reversal of 5405440 is 445045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405447) 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, 52429 + ... + 52531.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 25405440 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 5405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

5405440 is an abundant number, since it is smaller than the sum of its proper divisors (7986848).

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

5405440 is a wasteful number, since it uses less digits than its factorization.

5405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 5405440 is about 2324.9602147134. The cubic root of 5405440 is about 175.4999580631.

It can be divided in two parts, 54054 and 40, that multiplied together give a triangular number (2162160 = T2079).

The spelling of 5405440 in words is "five million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 103 128 160 164 205 206 256 320 328 410 412 515 640 656 820 824 1030 1280 1312 1640 1648 2060 2624 3280 3296 4120 4223 5248 6560 6592 8240 8446 10496 13120 13184 16480 16892 21115 26240 26368 32960 33784 42230 52480 65920 67568 84460 131840 135136 168920 270272 337840 540544 675680 1081088 1351360 2702720 5405440