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114269600 = 2552142837
BaseRepresentation
bin1101100111110…
…01110110100000
321222000111102102
412303321312200
5213223111400
615201105532
72555163344
oct663716640
9258014372
10114269600
1159558495
12323282a8
131a89b863
1411267624
15a0729d5
hex6cf9da0

114269600 has 36 divisors (see below), whose sum is σ = 278962614. Its totient is φ = 45707520.

The previous prime is 114269593. The next prime is 114269609. The reversal of 114269600 is 6962411.

It can be written as a sum of positive squares in 3 ways, for example, as 71707024 + 42562576 = 8468^2 + 6524^2 .

It is not an unprimeable number, because it can be changed into a prime (114269609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70619 + ... + 72218.

Almost surely, 2114269600 is an apocalyptic number.

114269600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114269600 is an abundant number, since it is smaller than the sum of its proper divisors (164693014).

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

114269600 is a wasteful number, since it uses less digits than its factorization.

114269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142857 (or 142844 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 114269600 is about 10689.6959732258. The cubic root of 114269600 is about 485.2626911499.

The spelling of 114269600 in words is "one hundred fourteen million, two hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 142837 285674 571348 714185 1142696 1428370 2285392 2856740 3570925 4570784 5713480 7141850 11426960 14283700 22853920 28567400 57134800 114269600