Search a number
-
+
1244681040 = 243516331817
BaseRepresentation
bin100101000110000…
…0101001101010000
310012202002100101210
41022030011031100
510022114243130
6323301500120
742562420461
oct11214051520
93182070353
101244681040
11589654319
122a8a11640
1316ab39875
14bb440d68
15744145b0
hex4a305350

1244681040 has 80 divisors (see below), whose sum is σ = 3882305088. Its totient is φ = 329868288.

The previous prime is 1244681033. The next prime is 1244681057. The reversal of 1244681040 is 401864421.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1244680989 and 1244681007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23212 + ... + 55028.

Almost surely, 21244681040 is an apocalyptic number.

1244681040 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 1244681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941152544).

1244681040 is an abundant number, since it is smaller than the sum of its proper divisors (2637624048).

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

1244681040 is a wasteful number, since it uses less digits than its factorization.

1244681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31996 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1244681040 is about 35280.0374149461. The cubic root of 1244681040 is about 1075.6872591100.

The spelling of 1244681040 in words is "one billion, two hundred forty-four million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 13040 19560 31817 39120 63634 95451 127268 159085 190902 254536 318170 381804 477255 509072 636340 763608 954510 1272680 1527216 1909020 2545360 3818040 5186171 7636080 10372342 15558513 20744684 25930855 31117026 41489368 51861710 62234052 77792565 82978736 103723420 124468104 155585130 207446840 248936208 311170260 414893680 622340520 1244681040