Search a number
-
+
1060408448 = 27111973823
BaseRepresentation
bin111111001101001…
…000110010000000
32201220100022220222
4333031020302000
54132431032243
6253120122212
735164215551
oct7715106200
92656308828
101060408448
114a4633620
12257166368
1313b8cb028
14a0b94328
1563165168
hex3f348c80

1060408448 has 64 divisors (see below), whose sum is σ = 2316885120. Its totient is φ = 479431680.

The previous prime is 1060408441. The next prime is 1060408463. The reversal of 1060408448 is 8448040601.

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

It is a super-2 number, since 2×10604084482 = 2248932153179537408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1060408441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275465 + ... + 279287.

It is an arithmetic number, because the mean of its divisors is an integer number (36201330).

Almost surely, 21060408448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158442560).

1060408448 is an abundant number, since it is smaller than the sum of its proper divisors (1256476672).

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

1060408448 is a wasteful number, since it uses less digits than its factorization.

1060408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 1060408448 is about 32563.9132783515. The cubic root of 1060408448 is about 1019.7437674972.

The spelling of 1060408448 in words is "one billion, sixty million, four hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 197 352 394 704 788 1408 1576 2167 3152 3823 4334 6304 7646 8668 12608 15292 17336 25216 30584 34672 42053 61168 69344 84106 122336 138688 168212 244672 277376 336424 489344 672848 753131 1345696 1506262 2691392 3012524 5382784 6025048 8284441 12050096 16568882 24100192 33137764 48200384 66275528 96400768 132551056 265102112 530204224 1060408448