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2432196 = 2232135197
BaseRepresentation
bin1001010001110011000100
311120120100100
421101303010
51110312241
6124044100
726446644
oct11216304
94516310
102432196
111411388
12993630
13672090
14474524
153309b6
hex251cc4

2432196 has 36 divisors (see below), whose sum is σ = 6622252. Its totient is φ = 748224.

The previous prime is 2432179. The next prime is 2432219. The reversal of 2432196 is 6912342.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 1726596 = 840^2 + 1314^2 .

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 unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2131 + ... + 3066.

22432196 is an apocalyptic number.

2432196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2432196 is an abundant number, since it is smaller than the sum of its proper divisors (4190056).

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

2432196 is a wasteful number, since it uses less digits than its factorization.

2432196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5215 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2432196 is about 1559.5499350774. The cubic root of 2432196 is about 134.4826288239.

It can be divided in two parts, 2432 and 196, that added together give a triangular number (2628 = T72).

The spelling of 2432196 in words is "two million, four hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5197 10394 15591 20788 31182 46773 62364 67561 93546 135122 187092 202683 270244 405366 608049 810732 1216098 2432196