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1242731400 = 233522390053
BaseRepresentation
bin100101000010010…
…1001001110001000
310012121102021222220
41022010221032020
510021114401100
6323152014040
742540020421
oct11204511610
93177367886
101242731400
11588542549
122a8231320
1316a606331
14bb094648
157417baa0
hex4a129388

1242731400 has 96 divisors (see below), whose sum is σ = 4020010560. Its totient is φ = 316983040.

The previous prime is 1242731353. The next prime is 1242731411. The reversal of 1242731400 is 41372421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31227 + ... + 58826.

It is an arithmetic number, because the mean of its divisors is an integer number (41875110).

Almost surely, 21242731400 is an apocalyptic number.

1242731400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242731400 is an abundant number, since it is smaller than the sum of its proper divisors (2777279160).

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

1242731400 is a wasteful number, since it uses less digits than its factorization.

1242731400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90095 (or 90086 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1242731400 is about 35252.3956632737. The cubic root of 1242731400 is about 1075.1253216074.

The spelling of 1242731400 in words is "one billion, two hundred forty-two million, seven hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 90053 180106 270159 360212 450265 540318 720424 900530 1080636 1350795 1801060 2071219 2161272 2251325 2701590 3602120 4142438 4502650 5403180 6213657 6753975 8284876 9005300 10356095 10806360 12427314 13507950 16569752 18010600 20712190 24854628 27015900 31068285 41424380 49709256 51780475 54031800 62136570 82848760 103560950 124273140 155341425 207121900 248546280 310682850 414243800 621365700 1242731400