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1128616740 = 2234517107383
BaseRepresentation
bin100001101000101…
…0101001100100100
32220122200200010000
41003101111030210
54302411213430
6303554101300
736653040546
oct10321251444
92818620100
101128616740
1152a090509
12275b7a830
1314ca90174
14a9c6b696
1569139e60
hex43455324

1128616740 has 240 divisors, whose sum is σ = 3793692672. Its totient is φ = 279880704.

The previous prime is 1128616711. The next prime is 1128616763. The reversal of 1128616740 is 476168211.

It is a happy number.

1128616740 is a `hidden beast` number, since 11 + 28 + 616 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1128616695 and 1128616704.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2946589 + ... + 2946971.

Almost surely, 21128616740 is an apocalyptic number.

1128616740 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 1128616740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896846336).

1128616740 is an abundant number, since it is smaller than the sum of its proper divisors (2665075932).

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

1128616740 is a wasteful number, since it uses less digits than its factorization.

1128616740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1128616740 is about 33594.8915759524. The cubic root of 1128616740 is about 1041.1552559342.

It can be divided in two parts, 1 and 128616740, that added together give a triangular number (128616741 = T16038).

The spelling of 1128616740 in words is "one billion, one hundred twenty-eight million, six hundred sixteen thousand, seven hundred forty".