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114643240 = 23517533181
BaseRepresentation
bin1101101010101…
…01000100101000
321222201110221221
412311111010220
5213322040430
615213111424
72561310565
oct665250450
9258643857
10114643240
1159793188
1232488574
131a99c94a
141132386c
15a0e857a
hex6d55128

114643240 has 64 divisors (see below), whose sum is σ = 278361360. Its totient is φ = 42332160.

The previous prime is 114643237. The next prime is 114643253. The reversal of 114643240 is 42346411.

It can be written as a sum of positive squares in 8 ways, for example, as 50098084 + 64545156 = 7078^2 + 8034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34450 + ... + 37630.

Almost surely, 2114643240 is an apocalyptic number.

114643240 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 114643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139180680).

114643240 is an abundant number, since it is smaller than the sum of its proper divisors (163718120).

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

114643240 is a wasteful number, since it uses less digits than its factorization.

114643240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 114643240 is about 10707.1583531766. The cubic root of 114643240 is about 485.7910214897.

Adding to 114643240 its reverse (42346411), we get a palindrome (156989651).

The spelling of 114643240 in words is "one hundred fourteen million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3181 3604 4505 6362 7208 9010 12724 15905 18020 25448 31810 36040 54077 63620 108154 127240 168593 216308 270385 337186 432616 540770 674372 842965 1081540 1348744 1685930 2163080 2866081 3371860 5732162 6743720 11464324 14330405 22928648 28660810 57321620 114643240