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114096888 = 233243137269
BaseRepresentation
bin1101100110011…
…11101011111000
321221200201111200
412303033223320
5213202100023
615153254200
72553543663
oct663175370
9257621450
10114096888
115944a754
1232264360
131a83b069
14112206da
15a03b743
hex6ccfaf8

114096888 has 96 divisors (see below), whose sum is σ = 319690800. Its totient is φ = 36739584.

The previous prime is 114096887. The next prime is 114096907. The reversal of 114096888 is 888690411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114096887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424018 + ... + 424286.

Almost surely, 2114096888 is an apocalyptic number.

114096888 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 114096888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159845400).

114096888 is an abundant number, since it is smaller than the sum of its proper divisors (205593912).

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

114096888 is a wasteful number, since it uses less digits than its factorization.

114096888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 114096888 is about 10681.6144847116. The cubic root of 114096888 is about 485.0180855551.

The spelling of 114096888 in words is "one hundred fourteen million, ninety-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 137 172 258 269 274 344 387 411 516 538 548 774 807 822 1032 1076 1096 1233 1548 1614 1644 2152 2421 2466 3096 3228 3288 4842 4932 5891 6456 9684 9864 11567 11782 17673 19368 23134 23564 34701 35346 36853 46268 47128 53019 69402 70692 73706 92536 104103 106038 110559 138804 141384 147412 208206 212076 221118 277608 294824 331677 416412 424152 442236 663354 832824 884472 1326708 1584679 2653416 3169358 4754037 6338716 9508074 12677432 14262111 19016148 28524222 38032296 57048444 114096888