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5432352240 = 2435717318691
BaseRepresentation
bin1010000111100101…
…10001110111110000
3112000120221002100010
411003302301313300
542111140232430
62255014054520
7251422142430
oct50362616760
915016832303
105432352240
11233846a707
12107734a440
136875b9a13
143976882c0
1521bdaacb0
hex143cb1df0

5432352240 has 160 divisors (see below), whose sum is σ = 19358332416. Its totient is φ = 1234437120.

The previous prime is 5432352223. The next prime is 5432352257. The reversal of 5432352240 is 422532345.

It is an interprime number because it is at equal distance from previous prime (5432352223) and next prime (5432352257).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5432352198 and 5432352207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281295 + ... + 299985.

Almost surely, 25432352240 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 5432352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679166208).

5432352240 is an abundant number, since it is smaller than the sum of its proper divisors (13925980176).

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

5432352240 is a wasteful number, since it uses less digits than its factorization.

5432352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18887 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5432352240 is about 73704.4926717497. The cubic root of 5432352240 is about 1757.9073181786.

Adding to 5432352240 its reverse (422532345), we get a palindrome (5854884585).

The spelling of 5432352240 in words is "five billion, four hundred thirty-two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 18691 19376 20760 24220 29064 36330 37382 41520 48440 56073 58128 72660 74764 93455 96880 112146 130837 145320 149528 186910 224292 261674 280365 290640 299056 373820 392511 448584 523348 560730 654185 747640 785022 897168 1046696 1121460 1308370 1495280 1570044 1962555 2093392 2242920 2616740 3140088 3233543 3925110 4485840 5233480 6280176 6467086 7850220 9700629 10466960 12934172 15700440 16167715 19401258 22634801 25868344 31400880 32335430 38802516 45269602 48503145 51736688 64670860 67904403 77605032 90539204 97006290 113174005 129341720 135808806 155210064 181078408 194012580 226348010 258683440 271617612 339522015 362156816 388025160 452696020 543235224 679044030 776050320 905392040 1086470448 1358088060 1810784080 2716176120 5432352240