Search a number
-
+
1124107392 = 27397103293
BaseRepresentation
bin100001100000000…
…1000010010000000
32220100012120110010
41003000020102000
54300232414032
6303313304520
736566520012
oct10300102200
92810176403
101124107392
11527590581
12274565140
1314bb71805
14a94161b2
1568a48ccc
hex43008480

1124107392 has 128 divisors (see below), whose sum is σ = 3056376960. Its totient is φ = 365985792.

The previous prime is 1124107379. The next prime is 1124107423. The reversal of 1124107392 is 2937014211.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3836398 + ... + 3836690.

It is an arithmetic number, because the mean of its divisors is an integer number (23877945).

Almost surely, 21124107392 is an apocalyptic number.

1124107392 is a gapful number since it is divisible by the number (12) 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 1124107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528188480).

1124107392 is an abundant number, since it is smaller than the sum of its proper divisors (1932269568).

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

1124107392 is a wasteful number, since it uses less digits than its factorization.

1124107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1124107392 is about 33527.7108076290. The cubic root of 1124107392 is about 1039.7667721584.

The spelling of 1124107392 in words is "one billion, one hundred twenty-four million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 103 128 192 194 206 291 293 309 384 388 412 582 586 618 776 824 879 1164 1172 1236 1552 1648 1758 2328 2344 2472 3104 3296 3516 4656 4688 4944 6208 6592 7032 9312 9376 9888 9991 12416 13184 14064 18624 18752 19776 19982 28128 28421 29973 30179 37248 37504 39552 39964 56256 56842 59946 60358 79928 85263 90537 112512 113684 119892 120716 159856 170526 181074 227368 239784 241432 319712 341052 362148 454736 479568 482864 639424 682104 724296 909472 959136 965728 1278848 1364208 1448592 1818944 1918272 1931456 2728416 2897184 2927363 3637888 3836544 3862912 5456832 5794368 5854726 8782089 10913664 11588736 11709452 17564178 23418904 35128356 46837808 70256712 93675616 140513424 187351232 281026848 374702464 562053696 1124107392