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116195328 = 21632197
BaseRepresentation
bin1101110110100…
…00000000000000
322002122100000200
412323100000000
5214221222303
615310245200
72610433614
oct673200000
9262570020
10116195328
115a6532a7
1232ab6800
131b0c4242
1411609344
15a3033a3
hex6ed0000

116195328 has 102 divisors (see below), whose sum is σ = 337376754. Its totient is φ = 38535168.

The previous prime is 116195293. The next prime is 116195329. The reversal of 116195328 is 823591611.

116195328 is a `hidden beast` number, since 1 + 1 + 619 + 5 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 589824 = 10752^2 + 768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 116195292 and 116195301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116195329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589726 + ... + 589922.

Almost surely, 2116195328 is an apocalyptic number.

116195328 is a gapful number since it is divisible by the number (18) 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 116195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168688377).

116195328 is an abundant number, since it is smaller than the sum of its proper divisors (221181426).

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

116195328 is an frugal number, since it uses more digits than its factorization.

116195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 116195328 is about 10779.3936749708. The cubic root of 116195328 is about 487.9734823896.

The spelling of 116195328 in words is "one hundred sixteen million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 256 288 384 394 512 576 591 768 788 1024 1152 1182 1536 1576 1773 2048 2304 2364 3072 3152 3546 4096 4608 4728 6144 6304 7092 8192 9216 9456 12288 12608 14184 16384 18432 18912 24576 25216 28368 32768 36864 37824 49152 50432 56736 65536 73728 75648 98304 100864 113472 147456 151296 196608 201728 226944 294912 302592 403456 453888 589824 605184 806912 907776 1210368 1613824 1815552 2420736 3227648 3631104 4841472 6455296 7262208 9682944 12910592 14524416 19365888 29048832 38731776 58097664 116195328