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114323940 = 22335211711
BaseRepresentation
bin1101101000001…
…11000111100100
321222010020222000
412310013013210
5213231331230
615202205300
72555510643
oct664070744
9258106860
10114323940
11595952a5
1232353830
131a8ba503
141127d35a
15a083b60
hex6d071e4

114323940 has 48 divisors (see below), whose sum is σ = 355676160. Its totient is φ = 30486240.

The previous prime is 114323933. The next prime is 114323947. The reversal of 114323940 is 49323411.

It is an interprime number because it is at equal distance from previous prime (114323933) and next prime (114323947).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114323947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105316 + ... + 106395.

It is an arithmetic number, because the mean of its divisors is an integer number (7409920).

Almost surely, 2114323940 is an apocalyptic number.

114323940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114323940 is an abundant number, since it is smaller than the sum of its proper divisors (241352220).

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

114323940 is a wasteful number, since it uses less digits than its factorization.

114323940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211729 (or 211721 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 114323940 is about 10692.2373711025. The cubic root of 114323940 is about 485.3395998986.

The spelling of 114323940 in words is "one hundred fourteen million, three hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 211711 423422 635133 846844 1058555 1270266 1905399 2117110 2540532 3175665 3810798 4234220 5716197 6351330 7621596 9526995 11432394 12702660 19053990 22864788 28580985 38107980 57161970 114323940