[go: up one dir, main page]

Search a number
-
+
5554000305 = 345722391171
BaseRepresentation
bin1010010110000101…
…10101000110110001
3112100001211110010000
411023002311012301
542333311002210
62315041300213
7254430136500
oct51302650661
915301743100
105554000305
1123a00a76a7
1210b0034669
136a686cb19
143a98b2837
152278d9ac0
hex14b0b51b1

5554000305 has 120 divisors (see below), whose sum is σ = 11639928960. Its totient is φ = 2526189120.

The previous prime is 5554000259. The next prime is 5554000307. The reversal of 5554000305 is 5030004555.

It is not a de Polignac number, because 5554000305 - 213 = 5553992113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5554000307) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4742370 + ... + 4743540.

It is an arithmetic number, because the mean of its divisors is an integer number (96999408).

Almost surely, 25554000305 is an apocalyptic number.

It is an amenable number.

5554000305 is an abundant number, since it is smaller than the sum of its proper divisors (6085928655).

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

5554000305 is a wasteful number, since it uses less digits than its factorization.

5554000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 5554000305 is about 74525.1655818355. The cubic root of 5554000305 is about 1770.9323298468.

The spelling of 5554000305 in words is "five billion, five hundred fifty-four million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 239 245 315 405 441 567 717 735 945 1171 1195 1323 1673 2151 2205 2835 3513 3585 3969 5019 5855 6453 6615 8197 8365 10539 10755 11711 15057 17565 19359 19845 24591 25095 31617 32265 35133 40985 45171 52695 57379 58555 73773 75285 94851 96795 105399 122955 135513 158085 172137 175665 221319 225855 279869 286895 316197 368865 474255 516411 526995 663957 677565 839607 860685 948591 1106595 1399345 1549233 1580985 1959083 2518821 2582055 3319785 4198035 4647699 4742955 5877249 7556463 7746165 9795415 12594105 13713581 17631747 22669389 23238495 29386245 37782315 41140743 52895241 68567905 88158735 113346945 123422229 158685723 205703715 264476205 370266687 617111145 793428615 1110800061 1851333435 5554000305