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1226028960 = 253451319383
BaseRepresentation
bin100100100010011…
…1011011110100000
310011102222201120000
41021010323132200
510002330411320
6321354020000
742245034312
oct11104733640
93142881500
101226028960
1157a074782
122a2717600
13167008b30
14b8b877b2
157297cc90
hex4913b7a0

1226028960 has 480 divisors, whose sum is σ = 4917749760. Its totient is φ = 285161472.

The previous prime is 1226028959. The next prime is 1226028971. The reversal of 1226028960 is 698206221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3200929 + ... + 3201311.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 21226028960 is an apocalyptic number.

1226028960 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 1226028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880).

1226028960 is an abundant number, since it is smaller than the sum of its proper divisors (3691720800).

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

1226028960 is a wasteful number, since it uses less digits than its factorization.

1226028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1226028960 is about 35014.6963431071. The cubic root of 1226028960 is about 1070.2869815721.

The spelling of 1226028960 in words is "one billion, two hundred twenty-six million, twenty-eight thousand, nine hundred sixty".