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1079101044 = 2232717331761
BaseRepresentation
bin100000001010001…
…1100011001110100
32210012112000100100
41000110130121310
54202222213134
6255024514100
735512131120
oct10024343164
92705460310
101079101044
1150414064a
1226147b930
13142744338
14a345c580
1564b08999
hex4051c674

1079101044 has 144 divisors (see below), whose sum is σ = 3315102336. Its totient is φ = 288921600.

The previous prime is 1079101033. The next prime is 1079101057. The reversal of 1079101044 is 4401019701.

It is a junction number, because it is equal to n+sod(n) for n = 1079100999 and 1079101017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417624 + ... + 1418384.

It is an arithmetic number, because the mean of its divisors is an integer number (23021544).

Almost surely, 21079101044 is an apocalyptic number.

1079101044 is a gapful number since it is divisible by the number (14) 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 1079101044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657551168).

1079101044 is an abundant number, since it is smaller than the sum of its proper divisors (2236001292).

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

1079101044 is a wasteful number, since it uses less digits than its factorization.

1079101044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1079101044 is about 32849.6734230342. The cubic root of 1079101044 is about 1025.7008235917.

The spelling of 1079101044 in words is "one billion, seventy-nine million, one hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 331 357 476 612 662 714 761 993 1071 1324 1428 1522 1986 2142 2283 2317 2979 3044 3972 4284 4566 4634 5327 5627 5958 6849 6951 9132 9268 10654 11254 11916 12937 13698 13902 15981 16881 20853 21308 22508 25874 27396 27804 31962 33762 38811 39389 41706 47943 50643 51748 63924 67524 77622 78778 83412 90559 95886 101286 116433 118167 155244 157556 181118 191772 202572 232866 236334 251891 271677 354501 362236 465732 472668 503782 543354 709002 755673 815031 1007564 1086708 1418004 1511346 1630062 1763237 2267019 3022692 3260124 3526474 4282147 4534038 5289711 7052948 8564294 9068076 10579422 12846441 15869133 17128588 21158844 25692882 29975029 31738266 38539323 51385764 59950058 63476532 77078646 89925087 119900116 154157292 179850174 269775261 359700348 539550522 1079101044