Search a number
-
+
2030774000 = 24537912853
BaseRepresentation
bin111100100001011…
…0010011011110000
312020112021000012212
41321002302123300
513124334232000
6533302311252
7101216202623
oct17102623360
95215230185
102030774000
11952356622
12488128528
13264960728
141539c9dba
15bd440c35
hex790b26f0

2030774000 has 80 divisors (see below), whose sum is σ = 4972955520. Its totient is φ = 801964800.

The previous prime is 2030773999. The next prime is 2030774077. The reversal of 2030774000 is 4770302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151574 + ... + 164426.

It is an arithmetic number, because the mean of its divisors is an integer number (62161944).

Almost surely, 22030774000 is an apocalyptic number.

2030774000 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 2030774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486477760).

2030774000 is an abundant number, since it is smaller than the sum of its proper divisors (2942181520).

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

2030774000 is a wasteful number, since it uses less digits than its factorization.

2030774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 2030774000 is about 45064.1098880251. The cubic root of 2030774000 is about 1266.3503211235.

The spelling of 2030774000 in words is "two billion, thirty million, seven hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 12853 15800 19750 25706 31600 39500 51412 64265 79000 102824 128530 158000 205648 257060 321325 514120 642650 1015387 1028240 1285300 1606625 2030774 2570600 3213250 4061548 5076935 5141200 6426500 8123096 10153870 12853000 16246192 20307740 25384675 25706000 40615480 50769350 81230960 101538700 126923375 203077400 253846750 406154800 507693500 1015387000 2030774000