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114124374 = 232713192193
BaseRepresentation
bin1101100110101…
…10011001010110
321221202010012200
412303112121112
5213203434444
615154025330
72554020060
oct663263126
9257663180
10114124374
1159469371
1232278246
131a84a720
141122a730
15a044969
hex6cd6656

114124374 has 144 divisors (see below), whose sum is σ = 322856352. Its totient is φ = 28366848.

The previous prime is 114124369. The next prime is 114124397. The reversal of 114124374 is 473421411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 591222 + ... + 591414.

It is an arithmetic number, because the mean of its divisors is an integer number (2242058).

Almost surely, 2114124374 is an apocalyptic number.

114124374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114124374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161428176).

114124374 is an abundant number, since it is smaller than the sum of its proper divisors (208731978).

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

114124374 is a wasteful number, since it uses less digits than its factorization.

114124374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 114124374 is about 10682.9010104934. The cubic root of 114124374 is about 485.0570294649.

Adding to 114124374 its reverse (473421411), we get a palindrome (587545785).

The spelling of 114124374 in words is "one hundred fourteen million, one hundred twenty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 193 234 247 266 273 342 361 386 399 494 546 579 722 741 798 819 1083 1158 1197 1351 1482 1638 1729 1737 2166 2223 2394 2509 2527 2702 3249 3458 3474 3667 4053 4446 4693 5018 5054 5187 6498 7334 7527 7581 8106 9386 10374 11001 12159 14079 15054 15162 15561 17563 22002 22581 22743 24318 25669 28158 31122 32851 33003 35126 42237 45162 45486 47671 51338 52689 65702 66006 69673 77007 84474 95342 98553 105378 139346 143013 154014 158067 197106 209019 231021 286026 295659 316134 333697 418038 429039 462042 487711 591318 627057 667394 858078 905749 975422 1001091 1254114 1463133 1811498 2002182 2717247 2926266 3003273 4389399 5434494 6006546 6340243 8151741 8778798 12680486 16303482 19020729 38041458 57062187 114124374