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114614040 = 23356191543
BaseRepresentation
bin1101101010011…
…01111100011000
321222122222220110
412311031330120
5213320122130
615212324320
72561126502
oct665157430
9258588813
10114614040
1159773252
12324736a0
131a98c578
1411316d72
15a0deab0
hex6d4df18

114614040 has 64 divisors (see below), whose sum is σ = 344620800. Its totient is φ = 30494592.

The previous prime is 114614039. The next prime is 114614047. The reversal of 114614040 is 40416411.

It is a junction number, because it is equal to n+sod(n) for n = 114613998 and 114614016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114614047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73509 + ... + 75051.

It is an arithmetic number, because the mean of its divisors is an integer number (5384700).

Almost surely, 2114614040 is an apocalyptic number.

114614040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114614040 is an abundant number, since it is smaller than the sum of its proper divisors (230006760).

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

114614040 is a wasteful number, since it uses less digits than its factorization.

114614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114614040 is about 10705.7946925952. The cubic root of 114614040 is about 485.7497738117.

The spelling of 114614040 in words is "one hundred fourteen million, six hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 619 1238 1543 1857 2476 3086 3095 3714 4629 4952 6172 6190 7428 7715 9258 9285 12344 12380 14856 15430 18516 18570 23145 24760 30860 37032 37140 46290 61720 74280 92580 185160 955117 1910234 2865351 3820468 4775585 5730702 7640936 9551170 11461404 14326755 19102340 22922808 28653510 38204680 57307020 114614040