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114363120 = 2435476513
BaseRepresentation
bin1101101000100…
…00101011110000
321222012020201010
412310100223300
5213234104440
615203110520
72556033114
oct664205360
9258166633
10114363120
1159611783
1232372440
131a9022b1
141128d744
15a090580
hex6d10af0

114363120 has 40 divisors (see below), whose sum is σ = 354526416. Its totient is φ = 30496768.

The previous prime is 114363091. The next prime is 114363121. The reversal of 114363120 is 21363411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1143631202 = 26157846432268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114363121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238017 + ... + 238496.

Almost surely, 2114363120 is an apocalyptic number.

114363120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114363120 is an abundant number, since it is smaller than the sum of its proper divisors (240163296).

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

114363120 is a wasteful number, since it uses less digits than its factorization.

114363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476529 (or 476523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 114363120 is about 10694.0693844766. The cubic root of 114363120 is about 485.3950372044.

The spelling of 114363120 in words is "one hundred fourteen million, three hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 476513 953026 1429539 1906052 2382565 2859078 3812104 4765130 5718156 7147695 7624208 9530260 11436312 14295390 19060520 22872624 28590780 38121040 57181560 114363120