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1228620960 = 25345729467
BaseRepresentation
bin100100100111011…
…0100010010100000
310011121212102010000
41021032310102200
510004011332320
6321525340000
742306051210
oct11116642240
93147772100
101228620960
11580585126
122a3567600
13167705868
14b9260240
1572ce0c90
hex493b44a0

1228620960 has 480 divisors, whose sum is σ = 5137292160. Its totient is φ = 270563328.

The previous prime is 1228620919. The next prime is 1228620961. The reversal of 1228620960 is 690268221.

It is a happy number.

1228620960 is a `hidden beast` number, since 1 + 2 + 28 + 620 + 9 + 6 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228620961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630647 + ... + 2631113.

It is an arithmetic number, because the mean of its divisors is an integer number (10702692).

Almost surely, 21228620960 is an apocalyptic number.

1228620960 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 1228620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568646080).

1228620960 is an abundant number, since it is smaller than the sum of its proper divisors (3908671200).

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

1228620960 is a wasteful number, since it uses less digits than its factorization.

1228620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

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

The square root of 1228620960 is about 35051.6898308769. The cubic root of 1228620960 is about 1071.0406970859.

The spelling of 1228620960 in words is "one billion, two hundred twenty-eight million, six hundred twenty thousand, nine hundred sixty".