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114782140 = 225113759239
BaseRepresentation
bin1101101011101…
…10111110111100
321222222112111101
412311312332330
5213341012030
615220102444
72562426544
oct665667674
9258875441
10114782140
1159878580
1232534a24
131aa1ac35
141135c324
15a1247ca
hex6d76fbc

114782140 has 96 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 39755520.

The previous prime is 114782099. The next prime is 114782141. The reversal of 114782140 is 41287411.

It is a junction number, because it is equal to n+sod(n) for n = 114782099 and 114782108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114782141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480141 + ... + 480379.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2114782140 is an apocalyptic number.

114782140 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 114782140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

114782140 is an abundant number, since it is smaller than the sum of its proper divisors (161006660).

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

114782140 is a wasteful number, since it uses less digits than its factorization.

114782140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 114782140 is about 10713.6427045147. The cubic root of 114782140 is about 485.9871346377.

The spelling of 114782140 in words is "one hundred fourteen million, seven hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 59 74 110 118 148 185 220 236 239 295 370 407 478 590 649 740 814 956 1180 1195 1298 1628 2035 2183 2390 2596 2629 3245 4070 4366 4780 5258 6490 8140 8732 8843 10516 10915 12980 13145 14101 17686 21830 24013 26290 28202 35372 43660 44215 48026 52580 56404 70505 88430 96052 97273 120065 141010 155111 176860 194546 240130 282020 310222 389092 480260 486365 521737 620444 775555 972730 1043474 1551110 1945460 2086948 2608685 3102220 5217370 5739107 10434740 11478214 22956428 28695535 57391070 114782140