Search a number
-
+
1230826688 = 26731319227
BaseRepresentation
bin100100101011100…
…1110110011000000
310011210000110210122
41021113032303000
510010042423223
6322044515412
742333566000
oct11127166300
93153013718
101230826688
11581851343
122a424bb68
13167cc8820
14b9676000
15730c95c8
hex495cecc0

1230826688 has 224 divisors, whose sum is σ = 3243072000. Its totient is φ = 459260928.

The previous prime is 1230826679. The next prime is 1230826691. The reversal of 1230826688 is 8866280321.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422031 + ... + 5422257.

It is an arithmetic number, because the mean of its divisors is an integer number (14478000).

Almost surely, 21230826688 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 1230826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621536000).

1230826688 is an abundant number, since it is smaller than the sum of its proper divisors (2012245312).

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

1230826688 is a wasteful number, since it uses less digits than its factorization.

1230826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 1230826688 is about 35083.1396542556. The cubic root of 1230826688 is about 1071.6812559445.

The spelling of 1230826688 in words is "one billion, two hundred thirty million, eight hundred twenty-six thousand, six hundred eighty-eight".