Search a number
-
+
1107116780 = 2257211102701
BaseRepresentation
bin100000111111101…
…0100001011101100
32212011020100201012
41001333110023230
54231410214110
6301505204352
736302223500
oct10177241354
92764210635
101107116780
11518a36250
1226a9306b8
131484a30b3
14a7072300
15672de905
hex41fd42ec

1107116780 has 72 divisors (see below), whose sum is σ = 2950423056. Its totient is φ = 345072000.

The previous prime is 1107116737. The next prime is 1107116797. The reversal of 1107116780 is 876117011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40571 + ... + 62130.

It is an arithmetic number, because the mean of its divisors is an integer number (40978098).

Almost surely, 21107116780 is an apocalyptic number.

1107116780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1107116780 is an abundant number, since it is smaller than the sum of its proper divisors (1843306276).

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

1107116780 is a wasteful number, since it uses less digits than its factorization.

1107116780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102735 (or 102726 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 32.

The square root of 1107116780 is about 33273.3644226129. The cubic root of 1107116780 is about 1034.5015468800.

The spelling of 1107116780 in words is "one billion, one hundred seven million, one hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 102701 205402 410804 513505 718907 1027010 1129711 1437814 2054020 2259422 2875628 3594535 4518844 5032349 5648555 7189070 7907977 10064698 11297110 14378140 15815954 20129396 22594220 25161745 31631908 39539885 50323490 55355839 79079770 100646980 110711678 158159540 221423356 276779195 553558390 1107116780