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114003252 = 223211287887
BaseRepresentation
bin1101100101110…
…00110100110100
321221111222001200
412302320310310
5213141101002
615151252500
72553003666
oct662706464
9257458050
10114003252
1159396370
123221a130
131a80755c
14111d8536
15a01db1c
hex6cb8d34

114003252 has 36 divisors (see below), whose sum is σ = 314373696. Its totient is φ = 34546320.

The previous prime is 114003233. The next prime is 114003289. The reversal of 114003252 is 252300411.

114003252 is a `hidden beast` number, since 11 + 400 + 3 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

114003252 is a modest number, since divided by 3252 gives 1140 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143548 + ... + 144339.

Almost surely, 2114003252 is an apocalyptic number.

114003252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114003252 is an abundant number, since it is smaller than the sum of its proper divisors (200370444).

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

114003252 is a wasteful number, since it uses less digits than its factorization.

114003252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287908 (or 287903 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114003252 is about 10677.2305397982. The cubic root of 114003252 is about 484.8853691607.

Adding to 114003252 its reverse (252300411), we get a palindrome (366303663).

The spelling of 114003252 in words is "one hundred fourteen million, three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 287887 575774 863661 1151548 1727322 2590983 3166757 3454644 5181966 6333514 9500271 10363932 12667028 19000542 28500813 38001084 57001626 114003252