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1093865040 = 243353713687
BaseRepresentation
bin100000100110011…
…0000111001010000
32211020022002202000
41001030300321100
54220012140130
6300313154000
736051461622
oct10114607120
92736262660
101093865040
11511504aa4
122663bb900
13145813428
14a53c2c12
1566073260
hex41330e50

1093865040 has 160 divisors (see below), whose sum is σ = 3869871360. Its totient is φ = 283792896.

The previous prime is 1093865033. The next prime is 1093865041. The reversal of 1093865040 is 405683901.

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

It is a junction number, because it is equal to n+sod(n) for n = 1093864986 and 1093865004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093865041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73077 + ... + 86763.

It is an arithmetic number, because the mean of its divisors is an integer number (24186696).

Almost surely, 21093865040 is an apocalyptic number.

1093865040 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 1093865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934935680).

1093865040 is an abundant number, since it is smaller than the sum of its proper divisors (2776006320).

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

1093865040 is a wasteful number, since it uses less digits than its factorization.

1093865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1093865040 is about 33073.6305838957. The cubic root of 1093865040 is about 1030.3574465552.

The spelling of 1093865040 in words is "one billion, ninety-three million, eight hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5328 6660 7992 8880 9990 13320 13687 15984 19980 26640 27374 39960 41061 54748 68435 79920 82122 109496 123183 136870 164244 205305 218992 246366 273740 328488 369549 410610 492732 506419 547480 615915 656976 739098 821220 985464 1012838 1094960 1231830 1478196 1519257 1642440 1847745 1970928 2025676 2463660 2532095 2956392 3038514 3284880 3695490 4051352 4557771 4927320 5064190 5912784 6077028 7390980 7596285 8102704 9115542 9854640 10128380 12154056 13673313 14781960 15192570 18231084 20256760 22788855 24308112 27346626 29563920 30385140 36462168 40513520 45577710 54693252 60770280 68366565 72924336 91155420 109386504 121540560 136733130 182310840 218773008 273466260 364621680 546932520 1093865040