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114179968 = 277192353
BaseRepresentation
bin1101100111000…
…11111110000000
321221211221110201
412303203332000
5213212224333
615155134544
72554341130
oct663437600
9257757421
10114179968
11594a7111
12322a4454
131a869b16
1411242ac0
15a05617d
hex6ce3f80

114179968 has 96 divisors (see below), whose sum is σ = 275142960. Its totient is φ = 46227456.

The previous prime is 114179963. The next prime is 114179971. The reversal of 114179968 is 869971411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114179963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323280 + ... + 323632.

Almost surely, 2114179968 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 114179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137571480).

114179968 is an abundant number, since it is smaller than the sum of its proper divisors (160962992).

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

114179968 is an equidigital number, since it uses as much as digits as its factorization.

114179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 381 counting only the distinct ones).

The product of its digits is 108864, while the sum is 46.

The square root of 114179968 is about 10685.5027022597. The cubic root of 114179968 is about 485.1357794637.

The spelling of 114179968 in words is "one hundred fourteen million, one hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 353 361 448 532 608 706 722 896 1064 1216 1412 1444 2128 2432 2471 2527 2824 2888 4256 4942 5054 5648 5776 6707 8512 9884 10108 11296 11552 13414 17024 19768 20216 22592 23104 26828 39536 40432 45184 46208 46949 53656 79072 80864 93898 107312 127433 158144 161728 187796 214624 254866 316288 323456 375592 429248 509732 751184 858496 892031 1019464 1502368 1784062 2038928 3004736 3568124 4077856 6009472 7136248 8155712 14272496 16311424 28544992 57089984 114179968