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1230133040 = 24583229809
BaseRepresentation
bin100100101010010…
…0101011100110000
310011201201020021222
41021110211130300
510004403224130
6322022004212
742324646463
oct11124453460
93151636258
101230133040
11581418184
122a3b76668
13167b14b96
14b95352da
1572eddce5
hex49525730

1230133040 has 80 divisors (see below), whose sum is σ = 2910751200. Its totient is φ = 483403776.

The previous prime is 1230133013. The next prime is 1230133063. The reversal of 1230133040 is 403310321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520156 + ... + 1520964.

It is an arithmetic number, because the mean of its divisors is an integer number (36384390).

Almost surely, 21230133040 is an apocalyptic number.

1230133040 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 1230133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455375600).

1230133040 is an abundant number, since it is smaller than the sum of its proper divisors (1680618160).

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

1230133040 is a wasteful number, since it uses less digits than its factorization.

1230133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1230133040 is about 35073.2524867598. The cubic root of 1230133040 is about 1071.4798982565.

Adding to 1230133040 its reverse (403310321), we get a palindrome (1633443361).

The spelling of 1230133040 in words is "one billion, two hundred thirty million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 229 332 415 458 664 809 830 916 1145 1328 1618 1660 1832 2290 3236 3320 3664 4045 4580 6472 6640 8090 9160 12944 16180 18320 19007 32360 38014 64720 67147 76028 95035 134294 152056 185261 190070 268588 304112 335735 370522 380140 537176 671470 741044 760280 926305 1074352 1342940 1482088 1520560 1852610 2685880 2964176 3705220 5371760 7410440 14820880 15376663 30753326 61506652 76883315 123013304 153766630 246026608 307533260 615066520 1230133040