Search a number
-
+
1117193920 = 265193509
BaseRepresentation
bin100001010010111…
…0000011011000000
32212212012022221121
41002211300123000
54242000201140
6302505202024
736453664063
oct10245603300
92785168847
101117193920
11523699367
12272190314
1314a5c0abb
14a85368da
156813064a
hex429706c0

1117193920 has 112 divisors (see below), whose sum is σ = 2813608800. Its totient is φ = 422525952.

The previous prime is 1117193867. The next prime is 1117193933. The reversal of 1117193920 is 293917111.

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, 2194626 + ... + 2195134.

Almost surely, 21117193920 is an apocalyptic number.

1117193920 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 1117193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406804400).

1117193920 is an abundant number, since it is smaller than the sum of its proper divisors (1696414880).

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

1117193920 is an frugal number, since it uses more digits than its factorization.

1117193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The square root of 1117193920 is about 33424.4509304192. The cubic root of 1117193920 is about 1037.6308001733.

The spelling of 1117193920 in words is "one billion, one hundred seventeen million, one hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 509 608 722 760 1018 1216 1444 1520 1805 2036 2545 2888 3040 3610 4072 5090 5776 6080 6859 7220 8144 9671 10180 11552 13718 14440 16288 19342 20360 23104 27436 28880 32576 34295 38684 40720 48355 54872 57760 68590 77368 81440 96710 109744 115520 137180 154736 162880 183749 193420 219488 274360 309472 367498 386840 438976 548720 618944 734996 773680 918745 1097440 1469992 1547360 1837490 2194880 2939984 3094720 3491231 3674980 5879968 6982462 7349960 11759936 13964924 14699920 17456155 27929848 29399840 34912310 55859696 58799680 69824620 111719392 139649240 223438784 279298480 558596960 1117193920