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1228872960 = 2832573311
BaseRepresentation
bin100100100111111…
…0001110100000000
310011122100012210100
41021033301310000
510004042413320
6321535002400
742311151000
oct11117616400
93148305710
101228872960
11580737497
122a3669400
13167793483
14b92c8000
1572d40790
hex493f1d00

1228872960 has 432 divisors, whose sum is σ = 4974278400. Its totient is φ = 279982080.

The previous prime is 1228872947. The next prime is 1228872973. The reversal of 1228872960 is 692788221.

It is an interprime number because it is at equal distance from previous prime (1228872947) and next prime (1228872973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3951205 + ... + 3951515.

Almost surely, 21228872960 is an apocalyptic number.

1228872960 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 1228872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487139200).

1228872960 is an abundant number, since it is smaller than the sum of its proper divisors (3745405440).

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

1228872960 is an equidigital number, since it uses as much as digits as its factorization.

1228872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1228872960 is about 35055.2843377429. The cubic root of 1228872960 is about 1071.1139184220.

The spelling of 1228872960 in words is "one billion, two hundred twenty-eight million, eight hundred seventy-two thousand, nine hundred sixty".