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1129570440 = 2335174379163
BaseRepresentation
bin100001101010011…
…1110000010001000
32220201111010100020
41003110332002020
54303132223230
6304030340440
736664122165
oct10324760210
92821433306
101129570440
1152a681a99
1227635a720
1315003529b
14aa03906c
1569277810
hex4353e088

1129570440 has 256 divisors, whose sum is σ = 3740774400. Its totient is φ = 271724544.

The previous prime is 1129570433. The next prime is 1129570441. The reversal of 1129570440 is 440759211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1129570441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6929799 + ... + 6929961.

It is an arithmetic number, because the mean of its divisors is an integer number (14612400).

Almost surely, 21129570440 is an apocalyptic number.

1129570440 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 1129570440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870387200).

1129570440 is an abundant number, since it is smaller than the sum of its proper divisors (2611203960).

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

1129570440 is a wasteful number, since it uses less digits than its factorization.

1129570440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1129570440 is about 33609.0827009605. The cubic root of 1129570440 is about 1041.4484378968.

The spelling of 1129570440 in words is "one billion, one hundred twenty-nine million, five hundred seventy thousand, four hundred forty".