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2991132 = 2232194373
BaseRepresentation
bin1011011010010000011100
312121222001200
423122100130
51231204012
6144035500
734265334
oct13322034
95558050
102991132
111763311
121002b90
13809601
1457c0c4
153e13dc
hex2da41c

2991132 has 36 divisors (see below), whose sum is σ = 7960680. Its totient is φ = 944352.

The previous prime is 2991103. The next prime is 2991139. The reversal of 2991132 is 2311992.

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2991096 and 2991105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991139) 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, 1503 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

22991132 is an apocalyptic number.

It is an amenable number.

2991132 is an abundant number, since it is smaller than the sum of its proper divisors (4969548).

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

2991132 is a wasteful number, since it uses less digits than its factorization.

2991132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4397 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2991132 is about 1729.4889418554. The cubic root of 2991132 is about 144.0827071173.

It can be divided in two parts, 299 and 1132, that added together give a triangular number (1431 = T53).

The spelling of 2991132 in words is "two million, nine hundred ninety-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 4373 8746 13119 17492 26238 39357 52476 78714 83087 157428 166174 249261 332348 498522 747783 997044 1495566 2991132