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1427620500 = 2232532811129
BaseRepresentation
bin101010100010111…
…1100001010010100
310200111022122011100
41111011330022110
510410432324000
6353354510100
750243400615
oct12505741224
93614278140
101427620500
11672944459
1233a135330
131999cc677
14d7861c0c
15854eda00
hex5517c294

1427620500 has 144 divisors (see below), whose sum is σ = 4523697360. Its totient is φ = 379008000.

The previous prime is 1427620487. The next prime is 1427620507. The reversal of 1427620500 is 50267241.

1427620500 is a `hidden beast` number, since 14 + 27 + 620 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 678394116 + 749226384 = 26046^2 + 27372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427620507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263936 + ... + 1265064.

It is an arithmetic number, because the mean of its divisors is an integer number (31414565).

Almost surely, 21427620500 is an apocalyptic number.

1427620500 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 1427620500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261848680).

1427620500 is an abundant number, since it is smaller than the sum of its proper divisors (3096076860).

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

1427620500 is a wasteful number, since it uses less digits than its factorization.

1427620500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1427620500 is about 37783.8656042497. The cubic root of 1427620500 is about 1125.9979293415.

Adding to 1427620500 its reverse (50267241), we get a palindrome (1477887741).

The spelling of 1427620500 in words is "one billion, four hundred twenty-seven million, six hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 281 300 375 450 500 562 750 843 900 1124 1125 1129 1405 1500 1686 2250 2258 2529 2810 3372 3387 4215 4500 4516 5058 5620 5645 6774 7025 8430 10116 10161 11290 12645 13548 14050 16860 16935 20322 21075 22580 25290 28100 28225 33870 35125 40644 42150 50580 50805 56450 63225 67740 70250 84300 84675 101610 105375 112900 126450 140500 141125 169350 203220 210750 252900 254025 282250 316125 317249 338700 421500 423375 508050 564500 632250 634498 846750 951747 1016100 1264500 1268996 1270125 1586245 1693500 1903494 2540250 2855241 3172490 3806988 4758735 5080500 5710482 6344980 7931225 9517470 11420964 14276205 15862450 19034940 23793675 28552410 31724900 39656125 47587350 57104820 71381025 79312250 95174700 118968375 142762050 158624500 237936750 285524100 356905125 475873500 713810250 1427620500