Search a number
-
+
1129823424 = 26332412713
BaseRepresentation
bin100001101010111…
…1011110011000000
32220201221222101000
41003111323303000
54303213322144
6304040012000
736666224562
oct10325736300
92821858330
101129823424
1152a835074
12276461000
131500c3492
14aa0a3332
15692c7769
hex4357bcc0

1129823424 has 112 divisors (see below), whose sum is σ = 3336483040. Its totient is φ = 374906880.

The previous prime is 1129823393. The next prime is 1129823501. The reversal of 1129823424 is 4243289211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 415092 + ... + 417804.

Almost surely, 21129823424 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 1129823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668241520).

1129823424 is an abundant number, since it is smaller than the sum of its proper divisors (2206659616).

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

1129823424 is a wasteful number, since it uses less digits than its factorization.

1129823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2959 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1129823424 is about 33612.8461157338. The cubic root of 1129823424 is about 1041.5261813514.

The spelling of 1129823424 in words is "one billion, one hundred twenty-nine million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 241 288 432 482 576 723 864 964 1446 1728 1928 2169 2713 2892 3856 4338 5426 5784 6507 7712 8139 8676 10852 11568 13014 15424 16278 17352 21704 23136 24417 26028 32556 34704 43408 46272 48834 52056 65112 69408 73251 86816 97668 104112 130224 138816 146502 173632 195336 208224 260448 293004 390672 416448 520896 586008 653833 781344 1172016 1307666 1562688 1961499 2344032 2615332 3922998 4688064 5230664 5884497 7845996 10461328 11768994 15691992 17653491 20922656 23537988 31383984 35306982 41845312 47075976 62767968 70613964 94151952 125535936 141227928 188303904 282455856 376607808 564911712 1129823424