[go: up one dir, main page]

Search a number
-
+
1023143550 = 2352111347699
BaseRepresentation
bin111100111110111…
…110111001111110
32122022020002002120
4330332332321332
54043411043200
6245305303410
734232401542
oct7476767176
92568202076
101023143550
114855a0990
12246794b66
13133c813b0
1499c53a22
155ec539a0
hex3cfbee7e

1023143550 has 96 divisors (see below), whose sum is σ = 2981059200. Its totient is φ = 228950400.

The previous prime is 1023143549. The next prime is 1023143551. The reversal of 1023143550 is 553413201.

It is an interprime number because it is at equal distance from previous prime (1023143549) and next prime (1023143551).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023143550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023143551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400 + ... + 45299.

It is an arithmetic number, because the mean of its divisors is an integer number (31052700).

Almost surely, 21023143550 is an apocalyptic number.

1023143550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023143550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490529600).

1023143550 is an abundant number, since it is smaller than the sum of its proper divisors (1957915650).

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

1023143550 is a wasteful number, since it uses less digits than its factorization.

1023143550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47738 (or 47733 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1023143550 is about 31986.6151694736. The cubic root of 1023143550 is about 1007.6557564897.

Adding to 1023143550 its reverse (553413201), we get a palindrome (1576556751).

The spelling of 1023143550 in words is "one billion, twenty-three million, one hundred forty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 195 275 286 325 330 390 429 550 650 715 825 858 975 1430 1650 1950 2145 3575 4290 7150 10725 21450 47699 95398 143097 238495 286194 476990 524689 620087 715485 1049378 1192475 1240174 1430970 1574067 1860261 2384950 2623445 3100435 3148134 3577425 3720522 5246890 6200870 6820957 7154850 7870335 9301305 13117225 13641914 15502175 15740670 18602610 20462871 26234450 31004350 34104785 39351675 40925742 46506525 68209570 78703350 93013050 102314355 170523925 204628710 341047850 511571775 1023143550