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5506435340 = 2257893591231
BaseRepresentation
bin1010010000011010…
…11000100100001100
3112012202022220020122
411020031120210030
542234121412330
62310222004112
7253311633230
oct51015304414
915182286218
105506435340
11237626a40a
121098116638
13699a57b83
143a34505c0
152236415e5
hex14835890c

5506435340 has 96 divisors (see below), whose sum is σ = 13412044800. Its totient is φ = 1859996160.

The previous prime is 5506435339. The next prime is 5506435343. The reversal of 5506435340 is 435346055.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5506435340.

It is not an unprimeable number, because it can be changed into a prime (5506435343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4472525 + ... + 4473755.

It is an arithmetic number, because the mean of its divisors is an integer number (139708800).

Almost surely, 25506435340 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 5506435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706022400).

5506435340 is an abundant number, since it is smaller than the sum of its proper divisors (7905609460).

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

5506435340 is a wasteful number, since it uses less digits than its factorization.

5506435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The square root of 5506435340 is about 74205.3592404214. The cubic root of 5506435340 is about 1765.8623536247.

The spelling of 5506435340 in words is "five billion, five hundred six million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 359 445 623 718 890 1231 1246 1436 1780 1795 2462 2492 2513 3115 3590 4924 5026 6155 6230 7180 8617 10052 12310 12460 12565 17234 24620 25130 31951 34468 43085 50260 63902 86170 109559 127804 159755 172340 219118 223657 319510 438236 441929 447314 547795 639020 766913 883858 894628 1095590 1118285 1533826 1767716 2191180 2209645 2236570 3067652 3093503 3834565 4419290 4473140 6187006 7669130 8838580 12374012 15338260 15467515 30935030 39331681 61870060 78663362 157326724 196658405 275321767 393316810 550643534 786633620 1101287068 1376608835 2753217670 5506435340