Search a number
-
+
1807023744 = 27324336479
BaseRepresentation
bin110101110110100…
…1111111010000000
311122221020022120100
41223231033322000
512200044224434
6455150442400
762531306541
oct15355177200
94587208510
101807023744
11848021759
12425203400
1322a4ac026
14131dc44c8
15a8994699
hex6bb4fe80

1807023744 has 96 divisors (see below), whose sum is σ = 5320972800. Its totient is φ = 588317184.

The previous prime is 1807023737. The next prime is 1807023749. The reversal of 1807023744 is 4473207081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×18070237442 = 6530669622759555072, which contains 22 as substring.

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 = 1807023699 and 1807023708.

It is not an unprimeable number, because it can be changed into a prime (1807023749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31297 + ... + 67775.

It is an arithmetic number, because the mean of its divisors is an integer number (55426800).

Almost surely, 21807023744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1807023744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660486400).

1807023744 is an abundant number, since it is smaller than the sum of its proper divisors (3513949056).

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

1807023744 is a wasteful number, since it uses less digits than its factorization.

1807023744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36542 (or 36527 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1807023744 is about 42509.1018959469. The cubic root of 1807023744 is about 1218.0205615043.

It can be divided in two parts, 18070 and 23744, that added together give a palindrome (41814).

The spelling of 1807023744 in words is "one billion, eight hundred seven million, twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 36479 49536 72958 109437 145916 218874 291832 328311 437748 583664 656622 875496 1167328 1313244 1568597 1750992 2334656 2626488 3137194 3501984 4669312 4705791 5252976 6274388 7003968 9411582 10505952 12548776 14007936 14117373 18823164 21011904 25097552 28234746 37646328 42023808 50195104 56469492 75292656 100390208 112938984 150585312 200780416 225877968 301170624 451755936 602341248 903511872 1807023744