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114135948 = 223210330781
BaseRepresentation
bin1101100110110…
…01001110001100
321221202201002100
412303121032030
5213204322243
615154155100
72554065603
oct663311614
9257681070
10114135948
1159477033
1232282a90
131a852a84
1411230a3a
15a0480d3
hex6cd938c

114135948 has 36 divisors (see below), whose sum is σ = 291320848. Its totient is φ = 37674720.

The previous prime is 114135947. The next prime is 114135953. The reversal of 114135948 is 849531411.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (114135947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11683 + ... + 19098.

Almost surely, 2114135948 is an apocalyptic number.

114135948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114135948 is an abundant number, since it is smaller than the sum of its proper divisors (177184900).

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

114135948 is a wasteful number, since it uses less digits than its factorization.

114135948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30894 (or 30889 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 114135948 is about 10683.4427035483. The cubic root of 114135948 is about 485.0734263720.

The spelling of 114135948 in words is "one hundred fourteen million, one hundred thirty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 30781 61562 92343 123124 184686 277029 369372 554058 1108116 3170443 6340886 9511329 12681772 19022658 28533987 38045316 57067974 114135948