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5407124820 = 22352914892087
BaseRepresentation
bin1010000100100101…
…00010110101010100
3111221211110101211020
411002102202311110
542033210443240
62252313241140
7250664542206
oct50222426524
914854411736
105407124820
1123251a99a9
12106aa031b0
136822c6156
1439419c776
15219a760d0
hex1424a2d54

5407124820 has 96 divisors (see below), whose sum is σ = 15680044800. Its totient is φ = 1390577664.

The previous prime is 5407124783. The next prime is 5407124837. The reversal of 5407124820 is 284217045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2589817 + ... + 2591903.

It is an arithmetic number, because the mean of its divisors is an integer number (163333800).

Almost surely, 25407124820 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 5407124820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840022400).

5407124820 is an abundant number, since it is smaller than the sum of its proper divisors (10272919980).

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

5407124820 is a wasteful number, since it uses less digits than its factorization.

5407124820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 5407124820 is about 73533.1545630949. The cubic root of 5407124820 is about 1755.1819001239.

The spelling of 5407124820 in words is "five billion, four hundred seven million, one hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1489 1740 2087 2978 4174 4467 5956 6261 7445 8348 8934 10435 12522 14890 17868 20870 22335 25044 29780 31305 41740 43181 44670 60523 62610 86362 89340 121046 125220 129543 172724 181569 215905 242092 259086 302615 363138 431810 518172 605230 647715 726276 863620 907845 1210460 1295430 1815690 2590860 3107543 3631380 6215086 9322629 12430172 15537715 18645258 31075430 37290516 46613145 62150860 90118747 93226290 180237494 186452580 270356241 360474988 450593735 540712482 901187470 1081424964 1351781205 1802374940 2703562410 5407124820