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1232001040 = 245191994073
BaseRepresentation
bin100100101101110…
…1101100000010000
310011212020010201011
41021123231200100
510010343013130
6322130020304
742346556524
oct11133554020
93155203634
101232001040
11582483686
122a4717694
1316831a1ca
14b989dd84
157325c52a
hex496ed810

1232001040 has 80 divisors (see below), whose sum is σ = 3031056000. Its totient is φ = 464403456.

The previous prime is 1232001031. The next prime is 1232001047. The reversal of 1232001040 is 401002321.

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

It is a super-2 number, since 2×12320010402 = 3035653125122163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1232001040.

It is not an unprimeable number, because it can be changed into a prime (1232001047) by changing a digit.

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, 300444 + ... + 304516.

It is an arithmetic number, because the mean of its divisors is an integer number (37888200).

Almost surely, 21232001040 is an apocalyptic number.

1232001040 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 1232001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515528000).

1232001040 is an abundant number, since it is smaller than the sum of its proper divisors (1799054960).

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

1232001040 is a wasteful number, since it uses less digits than its factorization.

1232001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1232001040 is about 35099.8723644403. The cubic root of 1232001040 is about 1072.0219838441.

Adding to 1232001040 its reverse (401002321), we get a palindrome (1633003361).

The spelling of 1232001040 in words is "one billion, two hundred thirty-two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 199 304 380 398 760 796 995 1520 1592 1990 3184 3781 3980 4073 7562 7960 8146 15124 15920 16292 18905 20365 30248 32584 37810 40730 60496 65168 75620 77387 81460 151240 154774 162920 302480 309548 325840 386935 619096 773870 810527 1238192 1547740 1621054 3095480 3242108 4052635 6190960 6484216 8105270 12968432 15400013 16210540 30800026 32421080 61600052 64842160 77000065 123200104 154000130 246400208 308000260 616000520 1232001040