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114215712 = 25313711289
BaseRepresentation
bin1101100111011…
…00101100100000
321221220202111120
412303230230200
5213214400322
615200012240
72554550262
oct663545440
9257822446
10114215712
1159520a56
1232301080
131a880180
1411251b32
15a061a5c
hex6cecb20

114215712 has 96 divisors (see below), whose sum is σ = 327680640. Its totient is φ = 34621440.

The previous prime is 114215693. The next prime is 114215713. The reversal of 114215712 is 217512411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114215713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87964 + ... + 89252.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2114215712 is an apocalyptic number.

114215712 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 114215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

114215712 is an abundant number, since it is smaller than the sum of its proper divisors (213464928).

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

114215712 is a wasteful number, since it uses less digits than its factorization.

114215712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1378 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 114215712 is about 10687.1751178691. The cubic root of 114215712 is about 485.1863980454.

The spelling of 114215712 in words is "one hundred fourteen million, two hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1289 1704 1846 2272 2578 2769 3408 3692 3867 5156 5538 6816 7384 7734 10312 11076 14768 15468 16757 20624 22152 29536 30936 33514 41248 44304 50271 61872 67028 88608 91519 100542 123744 134056 183038 201084 268112 274557 366076 402168 536224 549114 732152 804336 1098228 1189747 1464304 1608672 2196456 2379494 2928608 3569241 4392912 4758988 7138482 8785824 9517976 14276964 19035952 28553928 38071904 57107856 114215712