Search a number
-
+
116178192 = 243313137151
BaseRepresentation
bin1101110110010…
…11110100010000
322002121110112000
412323023310100
5214220200232
615310034000
72610332634
oct673136420
9262543460
10116178192
115a641439
1232aa8900
131b0b94c0
1411602dc4
15a2ed27c
hex6ecbd10

116178192 has 160 divisors (see below), whose sum is σ = 364143360. Its totient is φ = 35251200.

The previous prime is 116178191. The next prime is 116178193. The reversal of 116178192 is 291871611.

It is an interprime number because it is at equal distance from previous prime (116178191) and next prime (116178193).

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

It is not an unprimeable number, because it can be changed into a prime (116178191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769317 + ... + 769467.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 2116178192 is an apocalyptic number.

116178192 is a gapful number since it is divisible by the number (12) 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 116178192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182071680).

116178192 is an abundant number, since it is smaller than the sum of its proper divisors (247965168).

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

116178192 is a wasteful number, since it uses less digits than its factorization.

116178192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 116178192 is about 10778.5987957619. The cubic root of 116178192 is about 487.9494931156.

The spelling of 116178192 in words is "one hundred sixteen million, one hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 137 144 151 156 208 216 234 274 302 312 351 411 432 453 468 548 604 624 702 822 906 936 1096 1208 1233 1359 1404 1644 1781 1812 1872 1963 2192 2416 2466 2718 2808 3288 3562 3624 3699 3926 4077 4932 5343 5436 5616 5889 6576 7124 7248 7398 7852 8154 9864 10686 10872 11778 14248 14796 15704 16029 16308 17667 19728 20687 21372 21744 23556 28496 29592 31408 32058 32616 35334 41374 42744 47112 48087 53001 59184 62061 64116 65232 70668 82748 85488 94224 96174 106002 124122 128232 141336 165496 186183 192348 212004 248244 256464 268931 282672 330992 372366 384696 424008 496488 537862 558549 744732 769392 806793 848016 992976 1075724 1117098 1489464 1613586 2151448 2234196 2420379 2978928 3227172 4302896 4468392 4840758 6454344 7261137 8936784 9681516 12908688 14522274 19363032 29044548 38726064 58089096 116178192