Search a number
-
+
1020031200 = 253252141671
BaseRepresentation
bin111100110011000…
…111000011100000
32122002100221202100
4330303013003200
54042111444300
6245114450400
734164056616
oct7463070340
92562327670
101020031200
114838655a1
12245733a00
13133431876
14996836b6
155e83b700
hex3ccc70e0

1020031200 has 108 divisors (see below), whose sum is σ = 3596910408. Its totient is φ = 272006400.

The previous prime is 1020031193. The next prime is 1020031211. The reversal of 1020031200 is 21300201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63636 + ... + 78035.

It is an arithmetic number, because the mean of its divisors is an integer number (33304726).

Almost surely, 21020031200 is an apocalyptic number.

1020031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020031200 is an abundant number, since it is smaller than the sum of its proper divisors (2576879208).

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

1020031200 is a wasteful number, since it uses less digits than its factorization.

1020031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141697 (or 141681 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020031200 is about 31937.9272965545. The cubic root of 1020031200 is about 1006.6329730596.

Adding to 1020031200 its reverse (21300201), we get a palindrome (1041331401).

The spelling of 1020031200 in words is "one billion, twenty million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 141671 283342 425013 566684 708355 850026 1133368 1275039 1416710 1700052 2125065 2266736 2550078 2833420 3400104 3541775 4250130 4533472 5100156 5666840 6375195 6800208 7083550 8500260 10200312 10625325 11333680 12750390 13600416 14167100 17000520 20400624 21250650 22667360 25500780 28334200 31875975 34001040 40801248 42501300 51001560 56668400 63751950 68002080 85002600 102003120 113336800 127503900 170005200 204006240 255007800 340010400 510015600 1020031200