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114420096 = 2732722027
BaseRepresentation
bin1101101000111…
…10100110000000
321222022010212100
412310132212000
5213242420341
615204230400
72556361200
oct664364600
9258263770
10114420096
115965056a
123239b400
131a9221cb
14112a6400
15a0a23b6
hex6d1e980

114420096 has 144 divisors (see below), whose sum is σ = 383200740. Its totient is φ = 32675328.

The previous prime is 114420083. The next prime is 114420139. The reversal of 114420096 is 690024411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55435 + ... + 57461.

Almost surely, 2114420096 is an apocalyptic number.

114420096 is a gapful number since it is divisible by the number (16) 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 114420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600370).

114420096 is an abundant number, since it is smaller than the sum of its proper divisors (268780644).

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

114420096 is a wasteful number, since it uses less digits than its factorization.

114420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114420096 is about 10696.7329591796. The cubic root of 114420096 is about 485.4756321729.

The spelling of 114420096 in words is "one hundred fourteen million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2027 2352 2688 3136 3528 4032 4054 4704 6081 6272 7056 8064 8108 9408 12162 14112 14189 16216 18243 18816 24324 28224 28378 32432 36486 42567 48648 56448 56756 64864 72972 85134 97296 99323 113512 127701 129728 145944 170268 194592 198646 227024 255402 259456 291888 297969 340536 389184 397292 454048 510804 583776 595938 681072 778368 794584 893907 908096 1021608 1167552 1191876 1362144 1589168 1787814 1816192 2043216 2335104 2383752 2724288 3178336 3575628 4086432 4767504 5448576 6356672 7151256 8172864 9535008 12713344 14302512 16345728 19070016 28605024 38140032 57210048 114420096