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1146414132 = 223259539743
BaseRepresentation
bin100010001010100…
…1110010000110100
32221220011212112200
41010111032100310
54321440223012
6305431344500
740260234153
oct10425162064
92856155480
101146414132
115391369a6
1227bb22130
13153681b76
14ac38159a
156a9a33dc
hex4454e434

1146414132 has 36 divisors (see below), whose sum is σ = 2947002240. Its totient is φ = 375660432.

The previous prime is 1146414127. The next prime is 1146414133. The reversal of 1146414132 is 2314146411.

1146414132 is a `hidden beast` number, since 1 + 1 + 4 + 641 + 4 + 13 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1146414096 and 1146414105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146414133) 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, 267748 + ... + 271995.

Almost surely, 21146414132 is an apocalyptic number.

1146414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1146414132 is an abundant number, since it is smaller than the sum of its proper divisors (1800588108).

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

1146414132 is a wasteful number, since it uses less digits than its factorization.

1146414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539812 (or 539807 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1146414132 is about 33858.7378973287. The cubic root of 1146414132 is about 1046.5994696786.

The spelling of 1146414132 in words is "one billion, one hundred forty-six million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 539743 1079486 1619229 2158972 3238458 4857687 6476916 9715374 19430748 31844837 63689674 95534511 127379348 191069022 286603533 382138044 573207066 1146414132