Search a number
-
+
1035202050 = 232527331513
BaseRepresentation
bin111101101100111…
…110111000000010
32200010220201020200
4331230332320002
54110002431200
6250415550030
734440033531
oct7554767002
92603821220
101035202050
11491387693
1224a82b316
13136613bbc
149b6b2318
1560d36800
hex3db3ee02

1035202050 has 72 divisors (see below), whose sum is σ = 2819431524. Its totient is φ = 272263680.

The previous prime is 1035202043. The next prime is 1035202073. The reversal of 1035202050 is 502025301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93141801 + 942060249 = 9651^2 + 30693^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17094 + ... + 48606.

Almost surely, 21035202050 is an apocalyptic number.

1035202050 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 1035202050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409715762).

1035202050 is an abundant number, since it is smaller than the sum of its proper divisors (1784229474).

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

1035202050 is a wasteful number, since it uses less digits than its factorization.

1035202050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31604 (or 31596 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1035202050 is about 32174.5559409916. Note that the first 3 decimals coincide. The cubic root of 1035202050 is about 1011.5989606204.

Adding to 1035202050 its reverse (502025301), we get a palindrome (1537227351).

It can be divided in two parts, 103520 and 2050, that added together give a triangular number (105570 = T459).

The spelling of 1035202050 in words is "one billion, thirty-five million, two hundred two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2190 3285 3650 5475 6570 10950 16425 31513 32850 63026 94539 157565 189078 283617 315130 472695 567234 787825 945390 1418085 1575650 2300449 2363475 2836170 4600898 4726950 6901347 7090425 11502245 13802694 14180850 20704041 23004490 34506735 41408082 57511225 69013470 103520205 115022450 172533675 207040410 345067350 517601025 1035202050