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1230796800 = 21132522671
BaseRepresentation
bin100100101011100…
…0111100000000000
310011202221221210200
41021113013200000
510010040444200
6322044125200
742333412602
oct11127074000
93152857720
101230796800
11581830942
122a4236800
13167cb803c
14b9669172
15730c0800
hex495c7800

1230796800 has 216 divisors, whose sum is σ = 4409561520. Its totient is φ = 328089600.

The previous prime is 1230796799. The next prime is 1230796811. The reversal of 1230796800 is 86970321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 459465 + ... + 462135.

Almost surely, 21230796800 is an apocalyptic number.

1230796800 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 1230796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204780760).

1230796800 is an abundant number, since it is smaller than the sum of its proper divisors (3178764720).

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

1230796800 is a wasteful number, since it uses less digits than its factorization.

1230796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1230796800 is about 35082.7136920735. The cubic root of 1230796800 is about 1071.6725813767.

The spelling of 1230796800 in words is "one billion, two hundred thirty million, seven hundred ninety-six thousand, eight hundred".