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114032240 = 24571571297
BaseRepresentation
bin1101100101111…
…11111001110000
321221120102211022
412302333321300
5213143012430
615152035012
72553154340
oct662777160
9257512738
10114032240
1159406123
1232232a68
131a8177ca
1411204d20
15a0274e5
hex6cbfe70

114032240 has 80 divisors (see below), whose sum is σ = 305164992. Its totient is φ = 38817792.

The previous prime is 114032239. The next prime is 114032249. The reversal of 114032240 is 42230411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032249) 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 15 ways as a sum of consecutive naturals, for example, 87272 + ... + 88568.

Almost surely, 2114032240 is an apocalyptic number.

114032240 is a gapful number since it is divisible by the number (10) 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 114032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152582496).

114032240 is an abundant number, since it is smaller than the sum of its proper divisors (191132752).

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

114032240 is a wasteful number, since it uses less digits than its factorization.

114032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114032240 is about 10678.5879216308. The cubic root of 114032240 is about 484.9264635028.

Adding to 114032240 its reverse (42230411), we get a palindrome (156262651).

The spelling of 114032240 in words is "one hundred fourteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1297 1570 2198 2512 2594 3140 4396 5188 5495 6280 6485 8792 9079 10376 10990 12560 12970 17584 18158 20752 21980 25940 36316 43960 45395 51880 72632 87920 90790 103760 145264 181580 203629 363160 407258 726320 814516 1018145 1425403 1629032 2036290 2850806 3258064 4072580 5701612 7127015 8145160 11403224 14254030 16290320 22806448 28508060 57016120 114032240