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2083432 = 231322367
BaseRepresentation
bin111111100101001101000
310220211221011
413330221220
51013132212
6112353304
723465101
oct7745150
93824834
102083432
1111a334a
12845834
1357c400
143c33a8
152b24a7
hex1fca68

2083432 has 48 divisors (see below), whose sum is σ = 4479840. Its totient is φ = 906048.

The previous prime is 2083427. The next prime is 2083441. The reversal of 2083432 is 2343802.

It is an Ulam number.

2083432 is a modest number, since divided by 3432 gives 208 as remainder.

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, 31063 + ... + 31129.

It is an arithmetic number, because the mean of its divisors is an integer number (93330).

22083432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239920).

2083432 is an abundant number, since it is smaller than the sum of its proper divisors (2396408).

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

2083432 is a wasteful number, since it uses less digits than its factorization.

2083432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2083432 is about 1443.4098517053. The cubic root of 2083432 is about 127.7202549457.

The spelling of 2083432 in words is "two million, eighty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 67 92 104 134 169 184 268 299 338 536 598 676 871 1196 1352 1541 1742 2392 3082 3484 3887 6164 6968 7774 11323 12328 15548 20033 22646 31096 40066 45292 80132 90584 160264 260429 520858 1041716 2083432