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2039232 = 263131943
BaseRepresentation
bin111110001110111000000
310211121022010
413301313000
51010223412
6111412520
723222166
oct7616700
93747263
102039232
111173118
12824140
13565260
143b1236
152a433c
hex1f1dc0

2039232 has 112 divisors (see below), whose sum is σ = 6258560. Its totient is φ = 580608.

The previous prime is 2039221. The next prime is 2039243. The reversal of 2039232 is 2329302.

It is an interprime number because it is at equal distance from previous prime (2039221) and next prime (2039243).

It is a junction number, because it is equal to n+sod(n) for n = 2039199 and 2039208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47403 + ... + 47445.

It is an arithmetic number, because the mean of its divisors is an integer number (55880).

22039232 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 2039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129280).

2039232 is an abundant number, since it is smaller than the sum of its proper divisors (4219328).

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

2039232 is a wasteful number, since it uses less digits than its factorization.

2039232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2039232 is about 1428.0168066238. The cubic root of 2039232 is about 126.8105966259.

The spelling of 2039232 in words is "two million, thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 43 48 52 57 64 76 78 86 96 104 114 129 152 156 172 192 208 228 247 258 304 312 344 416 456 494 516 559 608 624 688 741 817 832 912 988 1032 1118 1216 1248 1376 1482 1634 1677 1824 1976 2064 2236 2451 2496 2752 2964 3268 3354 3648 3952 4128 4472 4902 5928 6536 6708 7904 8256 8944 9804 10621 11856 13072 13416 15808 17888 19608 21242 23712 26144 26832 31863 35776 39216 42484 47424 52288 53664 63726 78432 84968 107328 127452 156864 169936 254904 339872 509808 679744 1019616 2039232