Search a number
-
+
1204126336 = 2776122031
BaseRepresentation
bin100011111000101…
…1000001010000000
310002220202221210201
41013301120022000
54431224020321
6315252334544
741560622260
oct10761301200
93086687721
101204126336
11568774a36
12297314454
1316260a6ba
14b5cc57a0
1570aa3291
hex47c58280

1204126336 has 64 divisors (see below), whose sum is σ = 2786607360. Its totient is φ = 507571200.

The previous prime is 1204126333. The next prime is 1204126351. The reversal of 1204126336 is 6336214021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1204126331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43641 + ... + 65671.

It is an arithmetic number, because the mean of its divisors is an integer number (43540740).

Almost surely, 21204126336 is an apocalyptic number.

1204126336 is a gapful number since it is divisible by the number (16) 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 1204126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393303680).

1204126336 is an abundant number, since it is smaller than the sum of its proper divisors (1582481024).

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

1204126336 is an equidigital number, since it uses as much as digits as its factorization.

1204126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1204126336 is about 34700.5235695371. The cubic root of 1204126336 is about 1063.8751997140.

The spelling of 1204126336 in words is "one billion, two hundred four million, one hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3904 6832 7808 13664 22031 27328 44062 54656 88124 154217 176248 308434 352496 616868 704992 1233736 1343891 1409984 2467472 2687782 2819968 4934944 5375564 9407237 9869888 10751128 18814474 19739776 21502256 37628948 43004512 75257896 86009024 150515792 172018048 301031584 602063168 1204126336