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1148072328 = 2332131518123
BaseRepresentation
bin100010001101110…
…0011000110001000
32222000022010011100
41010123203012020
54322401303303
6305531101400
740310311434
oct10433430610
92860263140
101148072328
1153a069807
122805a1860
13153b12850
14ac6939c4
156abce8a3
hex446e3188

1148072328 has 96 divisors (see below), whose sum is σ = 3371135040. Its totient is φ = 350870400.

The previous prime is 1148072323. The next prime is 1148072369. The reversal of 1148072328 is 8232708411.

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 = 1148072292 and 1148072301.

It is not an unprimeable number, because it can be changed into a prime (1148072323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137275 + ... + 145397.

It is an arithmetic number, because the mean of its divisors is an integer number (35115990).

Almost surely, 21148072328 is an apocalyptic number.

1148072328 is a gapful number since it is divisible by the number (18) 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 1148072328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685567520).

1148072328 is an abundant number, since it is smaller than the sum of its proper divisors (2223062712).

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

1148072328 is a wasteful number, since it uses less digits than its factorization.

1148072328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1148072328 is about 33883.2160220957. The cubic root of 1148072328 is about 1047.1038339508.

The spelling of 1148072328 in words is "one billion, one hundred forty-eight million, seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 151 156 234 302 312 453 468 604 906 936 1208 1359 1812 1963 2718 3624 3926 5436 5889 7852 8123 10872 11778 15704 16246 17667 23556 24369 32492 35334 47112 48738 64984 70668 73107 97476 105599 141336 146214 194952 211198 292428 316797 422396 584856 633594 844792 950391 1226573 1267188 1900782 2453146 2534376 3679719 3801564 4906292 7359438 7603128 9812584 11039157 14718876 15945449 22078314 29437752 31890898 44156628 47836347 63781796 88313256 95672694 127563592 143509041 191345388 287018082 382690776 574036164 1148072328