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114622872 = 233713311693
BaseRepresentation
bin1101101010100…
…00000110011000
321222200110000120
412311100012120
5213320412442
615212433240
72561164320
oct665200630
9258613016
10114622872
1159779951
1232478820
131a9935b0
141131a280
15a0e24ec
hex6d50198

114622872 has 128 divisors (see below), whose sum is σ = 364277760. Its totient is φ = 29237760.

The previous prime is 114622867. The next prime is 114622873. The reversal of 114622872 is 278226411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114622873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66858 + ... + 68550.

It is an arithmetic number, because the mean of its divisors is an integer number (2845920).

Almost surely, 2114622872 is an apocalyptic number.

114622872 is a gapful number since it is divisible by the number (12) 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 114622872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182138880).

114622872 is an abundant number, since it is smaller than the sum of its proper divisors (249654888).

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

114622872 is a wasteful number, since it uses less digits than its factorization.

114622872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 114622872 is about 10706.2071715431. The cubic root of 114622872 is about 485.7622505607.

The spelling of 114622872 in words is "one hundred fourteen million, six hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1693 1736 2184 2418 2604 2821 3224 3386 4836 5079 5208 5642 6772 8463 9672 10158 11284 11851 13544 16926 20316 22009 22568 23702 33852 35553 40632 44018 47404 52483 66027 67704 71106 88036 94808 104966 132054 142212 154063 157449 176072 209932 264108 284424 308126 314898 367381 419864 462189 528216 616252 629796 682279 734762 924378 1102143 1232504 1259592 1364558 1469524 1848756 2046837 2204286 2729116 2939048 3697512 4093674 4408572 4775953 5458232 8187348 8817144 9551906 14327859 16374696 19103812 28655718 38207624 57311436 114622872