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114370240 = 265419853
BaseRepresentation
bin1101101000100…
…10011011000000
321222012121110211
412310102123000
5213234321430
615203203504
72556062635
oct664223300
9258177424
10114370240
1159617066
1232376594
131a9055ca
141129218c
15a09272a
hex6d126c0

114370240 has 56 divisors (see below), whose sum is σ = 273314160. Its totient is φ = 45585408.

The previous prime is 114370213. The next prime is 114370241. The reversal of 114370240 is 42073411.

It is not an unprimeable number, because it can be changed into a prime (114370241) 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 7 ways as a sum of consecutive naturals, for example, 133654 + ... + 134506.

It is an arithmetic number, because the mean of its divisors is an integer number (4880610).

Almost surely, 2114370240 is an apocalyptic number.

114370240 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 114370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136657080).

114370240 is an abundant number, since it is smaller than the sum of its proper divisors (158943920).

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

114370240 is an equidigital number, since it uses as much as digits as its factorization.

114370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 114370240 is about 10694.4022740871. The cubic root of 114370240 is about 485.4051102097.

The spelling of 114370240 in words is "one hundred fourteen million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 419 838 853 1676 1706 2095 3352 3412 4190 4265 6704 6824 8380 8530 13408 13648 16760 17060 26816 27296 33520 34120 54592 67040 68240 134080 136480 272960 357407 714814 1429628 1787035 2859256 3574070 5718512 7148140 11437024 14296280 22874048 28592560 57185120 114370240