Search a number
-
+
116165126 = 27111929372
BaseRepresentation
bin1101110110010…
…00101000000110
322002120210121002
412323020220012
5214214241001
615305453302
72610246560
oct673105006
9262523532
10116165126
115a632640
1232aa1232
131b0b357c
14115dc330
15a2e946b
hex6ec8a06

116165126 has 96 divisors (see below), whose sum is σ = 243129600. Its totient is φ = 40279680.

The previous prime is 116165123. The next prime is 116165129. The reversal of 116165126 is 621561611.

It is an interprime number because it is at equal distance from previous prime (116165123) and next prime (116165129).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116165123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3139580 + ... + 3139616.

It is an arithmetic number, because the mean of its divisors is an integer number (2532600).

Almost surely, 2116165126 is an apocalyptic number.

116165126 is an abundant number, since it is smaller than the sum of its proper divisors (126964474).

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

116165126 is a wasteful number, since it uses less digits than its factorization.

116165126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 116165126 is about 10777.9926702517. The cubic root of 116165126 is about 487.9311999890.

The spelling of 116165126 in words is "one hundred sixteen million, one hundred sixty-five thousand, one hundred twenty-six".

Divisors: 1 2 7 11 14 19 22 29 37 38 58 74 77 133 154 203 209 259 266 319 406 407 418 518 551 638 703 814 1073 1102 1369 1406 1463 2146 2233 2738 2849 2926 3857 4466 4921 5698 6061 7511 7714 7733 9583 9842 11803 12122 15022 15059 15466 19166 20387 23606 26011 30118 39701 40774 42427 52022 54131 79402 82621 84854 105413 108262 142709 165242 182077 210826 224257 277907 285418 286121 364154 436711 448514 555814 572242 754319 873422 1508638 1569799 2002847 3056977 3139598 4005694 5280233 6113954 8297509 10560466 16595018 58082563 116165126