[go: up one dir, main page]

Search a number
-
+
1055345500 = 2253111910099
BaseRepresentation
bin111110111001110…
…100101101011100
32201112211002212101
4332321310231130
54130132024000
6252415414444
735103201016
oct7671645534
92645732771
101055345500
114a1795770
12255524424
1313a8476c1
14a02371b6
15629b4e6a
hex3ee74b5c

1055345500 has 96 divisors (see below), whose sum is σ = 2647008000. Its totient is φ = 363528000.

The previous prime is 1055345483. The next prime is 1055345503. The reversal of 1055345500 is 55435501.

It is a super-2 number, since 2×10553455002 = 2227508248740500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055345503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99451 + ... + 109549.

It is an arithmetic number, because the mean of its divisors is an integer number (27573000).

Almost surely, 21055345500 is an apocalyptic number.

1055345500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323504000).

1055345500 is an abundant number, since it is smaller than the sum of its proper divisors (1591662500).

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

1055345500 is a wasteful number, since it uses less digits than its factorization.

1055345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 1055345500 is about 32486.0816350633. The cubic root of 1055345500 is about 1018.1182465769.

Subtracting from 1055345500 its reverse (55435501), we obtain a palindrome (999909999).

The spelling of 1055345500 in words is "one billion, fifty-five million, three hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 125 190 209 220 250 275 380 418 475 500 550 836 950 1045 1100 1375 1900 2090 2375 2750 4180 4750 5225 5500 9500 10099 10450 20198 20900 26125 40396 50495 52250 100990 104500 111089 191881 201980 222178 252475 383762 444356 504950 555445 767524 959405 1009900 1110890 1262375 1918810 2110691 2221780 2524750 2777225 3837620 4221382 4797025 5049500 5554450 8442764 9594050 10553455 11108900 13886125 19188100 21106910 23985125 27772250 42213820 47970250 52767275 55544500 95940500 105534550 211069100 263836375 527672750 1055345500