Search a number
-
+
1014132132 = 2232132166949
BaseRepresentation
bin111100011100100…
…110110110100100
32121200021020202100
4330130212312210
54034104212012
6244344212100
734062660306
oct7434466644
92550236670
101014132132
114804a6532
1224376a030
131321477b0
1498989976
155e0738dc
hex3c726da4

1014132132 has 36 divisors (see below), whose sum is σ = 2760694300. Its totient is φ = 312040512.

The previous prime is 1014132131. The next prime is 1014132151. The reversal of 1014132132 is 2312314101.

It can be written as a sum of positive squares in 2 ways, for example, as 561974436 + 452157696 = 23706^2 + 21264^2 .

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).

It is not an unprimeable number, because it can be changed into a prime (1014132131) 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, 1083007 + ... + 1083942.

Almost surely, 21014132132 is an apocalyptic number.

1014132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014132132 is an abundant number, since it is smaller than the sum of its proper divisors (1746562168).

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

1014132132 is a wasteful number, since it uses less digits than its factorization.

1014132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166972 (or 2166967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014132132 is about 31845.4413064099. The cubic root of 1014132132 is about 1004.6886924711.

Adding to 1014132132 its reverse (2312314101), we get a palindrome (3326446233).

The spelling of 1014132132 in words is "one billion, fourteen million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2166949 4333898 6500847 8667796 13001694 19502541 26003388 28170337 39005082 56340674 78010164 84511011 112681348 169022022 253533033 338044044 507066066 1014132132