Search a number
-
+
116195072 = 287259157
BaseRepresentation
bin1101110110011…
…11111100000000
322002122022200012
412323033330000
5214221220242
615310244052
72610433100
oct673177400
9262568605
10116195072
115a653094
1232ab6628
131b0c40a6
1411609200
15a303282
hex6ecff00

116195072 has 108 divisors (see below), whose sum is σ = 276123960. Its totient is φ = 48642048.

The previous prime is 116195069. The next prime is 116195143. The reversal of 116195072 is 270591611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740018 + ... + 740174.

Almost surely, 2116195072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138061980).

116195072 is an abundant number, since it is smaller than the sum of its proper divisors (159928888).

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

116195072 is an equidigital number, since it uses as much as digits as its factorization.

116195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 116195072 is about 10779.3818004559. The cubic root of 116195072 is about 487.9731240238.

The spelling of 116195072 in words is "one hundred sixteen million, one hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 128 157 196 224 236 256 314 392 413 448 472 628 784 826 896 944 1099 1256 1568 1652 1792 1888 2198 2512 2891 3136 3304 3776 4396 5024 5782 6272 6608 7552 7693 8792 9263 10048 11564 12544 13216 15104 15386 17584 18526 20096 23128 26432 30772 35168 37052 40192 46256 52864 61544 64841 70336 74104 92512 105728 123088 129682 140672 148208 185024 246176 259364 281344 296416 370048 453887 492352 518728 592832 740096 907774 984704 1037456 1185664 1815548 1969408 2074912 2371328 3631096 4149824 7262192 8299648 14524384 16599296 29048768 58097536 116195072