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1130424000 = 26353193767
BaseRepresentation
bin100001101100000…
…1110011011000000
32220210002111012120
41003120032123000
54303342032000
6304100524240
740004305536
oct10330163300
92823074176
101130424000
11530105312
122766b0680
13150273954
14aa1bc156
15693956a0
hex4360e6c0

1130424000 has 448 divisors, whose sum is σ = 4095536640. Its totient is φ = 273715200.

The previous prime is 1130423999. The next prime is 1130424013. The reversal of 1130424000 is 4240311.

It is a super-3 number, since 3×11304240003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16871967 + ... + 16872033.

Almost surely, 21130424000 is an apocalyptic number.

1130424000 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 1130424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047768320).

1130424000 is an abundant number, since it is smaller than the sum of its proper divisors (2965112640).

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

1130424000 is a wasteful number, since it uses less digits than its factorization.

1130424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1130424000 is about 33621.7786561032. The cubic root of 1130424000 is about 1041.7106953834.

Adding to 1130424000 its reverse (4240311), we get a palindrome (1134664311).

The spelling of 1130424000 in words is "one billion, one hundred thirty million, four hundred twenty-four thousand".