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1123127040 = 28357247127
BaseRepresentation
bin100001011110001…
…1000111100000000
32220021100202122210
41002330120330000
54300010031130
6303240302120
736555264600
oct10274307400
92807322583
101123127040
11526a80a72
12274171940
1314b8ba519
14a923cc00
15689035b0
hex42f18f00

1123127040 has 432 divisors, whose sum is σ = 4294950912. Its totient is φ = 249274368.

The previous prime is 1123127017. The next prime is 1123127041. The reversal of 1123127040 is 407213211.

It is a super-2 number, since 2×11231270402 = 2522828695958323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1123126998 and 1123127016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123127041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8843457 + ... + 8843583.

It is an arithmetic number, because the mean of its divisors is an integer number (9942016).

Almost surely, 21123127040 is an apocalyptic number.

1123127040 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 1123127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147475456).

1123127040 is an abundant number, since it is smaller than the sum of its proper divisors (3171823872).

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

1123127040 is a wasteful number, since it uses less digits than its factorization.

1123127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1123127040 is about 33513.0875927599. The cubic root of 1123127040 is about 1039.4644185125.

The spelling of 1123127040 in words is "one billion, one hundred twenty-three million, one hundred twenty-seven thousand, forty".