Search a number
-
+
2032000000 = 21056127
BaseRepresentation
bin111100100011101…
…1101110000000000
312020121120021222021
41321013131300000
513130143000000
6533344451224
7101232500152
oct17107356000
95217507867
102032000000
11953013748
12488619b14
13264c9c784
14153c28ad2
15bd5d411a
hex791ddc00

2032000000 has 154 divisors (see below), whose sum is σ = 5117434496. Its totient is φ = 806400000.

The previous prime is 2031999979. The next prime is 2032000007. The reversal of 2032000000 is 2302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999937 + ... + 16000063.

Almost surely, 22032000000 is an apocalyptic number.

2032000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558717248).

2032000000 is an abundant number, since it is smaller than the sum of its proper divisors (3085434496).

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

2032000000 is an frugal number, since it uses more digits than its factorization.

2032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2032000000 is about 45077.7106783386. The cubic root of 2032000000 is about 1266.6051062726.

Adding to 2032000000 its reverse (2302), we get a palindrome (2032002302).

The spelling of 2032000000 in words is "two billion, thirty-two million", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 128 160 200 250 254 256 320 400 500 508 512 625 635 640 800 1000 1016 1024 1250 1270 1280 1600 2000 2032 2500 2540 2560 3125 3175 3200 4000 4064 5000 5080 5120 6250 6350 6400 8000 8128 10000 10160 12500 12700 12800 15625 15875 16000 16256 20000 20320 25000 25400 25600 31250 31750 32000 32512 40000 40640 50000 50800 62500 63500 64000 65024 79375 80000 81280 100000 101600 125000 127000 128000 130048 158750 160000 162560 200000 203200 250000 254000 317500 320000 325120 396875 400000 406400 500000 508000 635000 640000 650240 793750 800000 812800 1000000 1016000 1270000 1587500 1600000 1625600 1984375 2000000 2032000 2540000 3175000 3200000 3251200 3968750 4000000 4064000 5080000 6350000 7937500 8000000 8128000 10160000 12700000 15875000 16000000 16256000 20320000 25400000 31750000 40640000 50800000 63500000 81280000 101600000 127000000 203200000 254000000 406400000 508000000 1016000000 2032000000