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5405342400 = 263252375371
BaseRepresentation
bin1010000100010111…
…01111101011000000
3111221201002211210200
411002023233223000
542032231424100
62252211125200
7250643436513
oct50213575300
914851084720
105405342400
1123241a1827
12106a2a3800
13681b20a73
14393c56d7a
15219822e00
hex1422efac0

5405342400 has 126 divisors (see below), whose sum is σ = 19211914332. Its totient is φ = 1441420800.

The previous prime is 5405342359. The next prime is 5405342419. The reversal of 5405342400 is 42435045.

It is a super-2 number, since 2×54053424002 = 58435452922475520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173286 + ... + 202085.

Almost surely, 25405342400 is an apocalyptic number.

5405342400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5405342400 is an abundant number, since it is smaller than the sum of its proper divisors (13806571932).

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

5405342400 is a wasteful number, since it uses less digits than its factorization.

5405342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375399 (or 375381 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5405342400 is about 73521.0337250504. The cubic root of 5405342400 is about 1754.9890178776.

Adding to 5405342400 its reverse (42435045), we get a palindrome (5447777445).

The spelling of 5405342400 in words is "five billion, four hundred five million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 375371 750742 1126113 1501484 1876855 2252226 3002968 3378339 3753710 4504452 5630565 6005936 6756678 7507420 9008904 9384275 11261130 12011872 13513356 15014840 16891695 18017808 18768550 22522260 24023744 27026712 28152825 30029680 33783390 36035616 37537100 45044520 54053424 56305650 60059360 67566780 72071232 75074200 84458475 90089040 108106848 112611300 120118720 135133560 150148400 168916950 180178080 216213696 225222600 270267120 300296800 337833900 360356160 450445200 540534240 600593600 675667800 900890400 1081068480 1351335600 1801780800 2702671200 5405342400