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1135791930 = 2357131724473
BaseRepresentation
bin100001110110010…
…1100111100111010
32221011012012121210
41003230230330322
54311230320210
6304411543550
740101033510
oct10354547472
92834165553
101135791930
11533141319
1227845abb6
13151403040
14aabb84b0
1569aa5e20
hex43b2cf3a

1135791930 has 128 divisors (see below), whose sum is σ = 3552450048. Its totient is φ = 225533952.

The previous prime is 1135791929. The next prime is 1135791941. The reversal of 1135791930 is 391975311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34174 + ... + 58646.

It is an arithmetic number, because the mean of its divisors is an integer number (27753516).

Almost surely, 21135791930 is an apocalyptic number.

1135791930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135791930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776225024).

1135791930 is an abundant number, since it is smaller than the sum of its proper divisors (2416658118).

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

1135791930 is a wasteful number, since it uses less digits than its factorization.

1135791930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520.

The product of its (nonzero) digits is 25515, while the sum is 39.

The square root of 1135791930 is about 33701.5122806084. The cubic root of 1135791930 is about 1043.3569809808.

The spelling of 1135791930 in words is "one billion, one hundred thirty-five million, seven hundred ninety-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1105 1190 1326 1365 1547 1785 2210 2730 3094 3315 3570 4641 6630 7735 9282 15470 23205 24473 46410 48946 73419 122365 146838 171311 244730 318149 342622 367095 416041 513933 636298 734190 832082 856555 954447 1027866 1248123 1590745 1713110 1908894 2080205 2227043 2496246 2569665 2912287 3181490 4160410 4454086 4772235 5139330 5408533 5824574 6240615 6681129 8736861 9544470 10817066 11135215 12481230 13362258 14561435 16225599 17473722 22270430 27042665 29122870 32451198 33405645 37859731 43684305 54085330 66811290 75719462 81127995 87368610 113579193 162255990 189298655 227158386 378597310 567895965 1135791930