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1130505936 = 243723241607
BaseRepresentation
bin100001101100010…
…0010011011010000
32220210020122121020
41003120202123100
54303402142221
6304102355440
740005066450
oct10330423320
92823218536
101130505936
1153016092a
1227672bb80
131502a2031
14aa1ddd60
15693aeac6
hex436226d0

1130505936 has 160 divisors (see below), whose sum is σ = 3503013888. Its totient is φ = 307169280.

The previous prime is 1130505919. The next prime is 1130506007. The reversal of 1130505936 is 6395050311.

It is a junction number, because it is equal to n+sod(n) for n = 1130505897 and 1130505906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1862145 + ... + 1862751.

Almost surely, 21130505936 is an apocalyptic number.

1130505936 is a gapful number since it is divisible by the number (16) 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 1130505936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751506944).

1130505936 is an abundant number, since it is smaller than the sum of its proper divisors (2372507952).

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

1130505936 is a wasteful number, since it uses less digits than its factorization.

1130505936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 1130505936 is about 33622.9971299407. The cubic root of 1130505936 is about 1041.7358633869.

The spelling of 1130505936 in words is "one billion, one hundred thirty million, five hundred five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 241 276 322 336 368 482 483 552 607 644 723 964 966 1104 1214 1288 1446 1687 1821 1928 1932 2428 2576 2892 3374 3642 3856 3864 4249 4856 5061 5543 5784 6748 7284 7728 8498 9712 10122 11086 11568 12747 13496 13961 14568 16629 16996 20244 22172 25494 26992 27922 29136 33258 33992 38801 40488 41883 44344 50988 55844 66516 67984 77602 80976 83766 88688 97727 101976 111688 116403 133032 146287 155204 167532 195454 203952 223376 232806 266064 292574 293181 310408 335064 390908 438861 465612 585148 586362 620816 670128 781816 877722 931224 1024009 1170296 1172724 1563632 1755444 1862448 2048018 2340592 2345448 3072027 3364601 3510888 4096036 4690896 6144054 6729202 7021776 8192072 10093803 12288108 13458404 16384144 20187606 23552207 24576216 26916808 40375212 47104414 49152432 53833616 70656621 80750424 94208828 141313242 161500848 188417656 282626484 376835312 565252968 1130505936