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114912369 = 32112138117
BaseRepresentation
bin1101101100101…
…10110001110001
322000020011010200
412312112301301
5213404143434
615222545413
72563511325
oct666266161
9260204120
10114912369
1159957400
1232598269
131aa652b0
1411393985
15a14d199
hex6d96c71

114912369 has 36 divisors (see below), whose sum is σ = 196504308. Its totient is φ = 64278720.

The previous prime is 114912341. The next prime is 114912389. The reversal of 114912369 is 963219411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62204769 + 52707600 = 7887^2 + 7260^2 .

It is not a de Polignac number, because 114912369 - 25 = 114912337 is a prime.

It is a super-2 number, since 2×1149123692 = 26409705098384322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114912389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10099 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (5458453).

Almost surely, 2114912369 is an apocalyptic number.

It is an amenable number.

114912369 is a deficient number, since it is larger than the sum of its proper divisors (81591939).

114912369 is a wasteful number, since it uses less digits than its factorization.

114912369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8144 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 114912369 is about 10719.7186996674. The cubic root of 114912369 is about 486.1708615312.

The spelling of 114912369 in words is "one hundred fourteen million, nine hundred twelve thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 8117 14157 24351 73053 89287 105521 267861 316563 803583 949689 982157 1160731 2946471 3482193 8839413 10446579 12768041 38304123 114912369