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114006720 = 2635118757
BaseRepresentation
bin1101100101110…
…01101011000000
321221112010211010
412302321223000
5213141203340
615151320520
72553020052
oct662715300
9257463733
10114006720
1159398a33
1232220140
131a808cc9
14111d98d2
15a01eb80
hex6cb9ac0

114006720 has 56 divisors (see below), whose sum is σ = 361974384. Its totient is φ = 30401536.

The previous prime is 114006713. The next prime is 114006727. The reversal of 114006720 is 27600411.

It is an interprime number because it is at equal distance from previous prime (114006713) and next prime (114006727).

It is not an unprimeable number, because it can be changed into a prime (114006727) 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 7 ways as a sum of consecutive naturals, for example, 58419 + ... + 60338.

Almost surely, 2114006720 is an apocalyptic number.

114006720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114006720 is an abundant number, since it is smaller than the sum of its proper divisors (247967664).

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

114006720 is a wasteful number, since it uses less digits than its factorization.

114006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118777 (or 118767 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114006720 is about 10677.3929402266. The cubic root of 114006720 is about 484.8902858784.

The spelling of 114006720 in words is "one hundred fourteen million, six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 118757 237514 356271 475028 593785 712542 950056 1187570 1425084 1781355 1900112 2375140 2850168 3562710 3800224 4750280 5700336 7125420 7600448 9500560 11400672 14250840 19001120 22801344 28501680 38002240 57003360 114006720