Search a number
-
+
1230783400 = 2352711229349
BaseRepresentation
bin100100101011100…
…0100001110101000
310011202221021102101
41021113010032220
510010040032100
6322043543144
742333325540
oct11127041650
93152837371
101230783400
11581821870
122a422aab4
13167cb1c02
14b9664320
15730bb86a
hex495c43a8

1230783400 has 192 divisors, whose sum is σ = 3593520000. Its totient is φ = 380851200.

The previous prime is 1230783377. The next prime is 1230783401. The reversal of 1230783400 is 43870321.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1230783401) 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 47 ways as a sum of consecutive naturals, for example, 3526426 + ... + 3526774.

It is an arithmetic number, because the mean of its divisors is an integer number (18716250).

Almost surely, 21230783400 is an apocalyptic number.

1230783400 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 1230783400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796760000).

1230783400 is an abundant number, since it is smaller than the sum of its proper divisors (2362736600).

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

1230783400 is a wasteful number, since it uses less digits than its factorization.

1230783400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1230783400 is about 35082.5227143089. The cubic root of 1230783400 is about 1071.6686921713.

The spelling of 1230783400 in words is "one billion, two hundred thirty million, seven hundred eighty-three thousand, four hundred".