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1134003960 = 2332523151907
BaseRepresentation
bin100001110010111…
…1000011011111000
32221000211100222200
41003211320123320
54310301111320
6304305350200
740046605665
oct10345703370
92830740880
101134003960
1153212aa61
12277938360
13150c2827b
14aa870a6c
1569851290
hex439786f8

1134003960 has 192 divisors, whose sum is σ = 3875489280. Its totient is φ = 287020800.

The previous prime is 1134003919. The next prime is 1134003971. The reversal of 1134003960 is 693004311.

1134003960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249827 + ... + 1250733.

It is an arithmetic number, because the mean of its divisors is an integer number (20184840).

Almost surely, 21134003960 is an apocalyptic number.

1134003960 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 1134003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937744640).

1134003960 is an abundant number, since it is smaller than the sum of its proper divisors (2741485320).

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

1134003960 is a wasteful number, since it uses less digits than its factorization.

1134003960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1134003960 is about 33674.9752783874. The cubic root of 1134003960 is about 1042.8092073151.

The spelling of 1134003960 in words is "one billion, one hundred thirty-four million, three thousand, nine hundred sixty".