Search a number
-
+
1263330464 = 251113127397
BaseRepresentation
bin100101101001100…
…1110010010100000
310021001011211121012
41023103032102200
510041403033324
6325205320052
743210063124
oct11323162240
93231154535
101263330464
11599131970
122b3106028
13171969326
14bdad7584
1575d9a20e
hex4b4ce4a0

1263330464 has 48 divisors (see below), whose sum is σ = 2734101216. Its totient is φ = 569836800.

The previous prime is 1263330433. The next prime is 1263330491. The reversal of 1263330464 is 4640333621.

It is a super-2 number, since 2×12633304642 = 3192007722540910592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1263330464.

It is an unprimeable number.

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, 32414 + ... + 59810.

It is an arithmetic number, because the mean of its divisors is an integer number (56960442).

Almost surely, 21263330464 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 1263330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367050608).

1263330464 is an abundant number, since it is smaller than the sum of its proper divisors (1470770752).

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

1263330464 is a wasteful number, since it uses less digits than its factorization.

1263330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27549 (or 27541 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 1263330464 is about 35543.3603363554. The cubic root of 1263330464 is about 1081.0330946774.

The spelling of 1263330464 in words is "one billion, two hundred sixty-three million, three hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 2096 2882 4192 5764 11528 23056 27397 46112 54794 109588 219176 301367 438352 602734 876704 1205468 2410936 3589007 4821872 7178014 9643744 14356028 28712056 39479077 57424112 78958154 114848224 157916308 315832616 631665232 1263330464