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2030794740 = 223551332143
BaseRepresentation
bin111100100001011…
…0111011111110100
312020112022001200000
41321002313133310
513124340412430
6533302551300
7101216320242
oct17102673764
95215261600
102030794740
11952370167
12488138530
13264969cc0
141539d3792
15bd446e60
hex790b77f4

2030794740 has 144 divisors (see below), whose sum is σ = 6879844608. Its totient is φ = 499872384.

The previous prime is 2030794697. The next prime is 2030794751. The reversal of 2030794740 is 474970302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2030794695 and 2030794704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47109 + ... + 79251.

Almost surely, 22030794740 is an apocalyptic number.

2030794740 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 2030794740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439922304).

2030794740 is an abundant number, since it is smaller than the sum of its proper divisors (4849049868).

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

2030794740 is a wasteful number, since it uses less digits than its factorization.

2030794740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32180 (or 32166 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2030794740 is about 45064.3400040431. The cubic root of 2030794740 is about 1266.3546321261.

The spelling of 2030794740 in words is "two billion, thirty million, seven hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 32143 63180 64286 96429 128572 160715 192858 289287 321430 385716 417859 482145 578574 642860 835718 867861 964290 1157148 1253577 1446435 1671436 1735722 1928580 2089295 2507154 2603583 2892870 3471444 3760731 4178590 4339305 5014308 5207166 5785740 6267885 7521462 7810749 8357180 8678610 10414332 11282193 12535770 13017915 15042924 15621498 17357220 18803655 22564386 25071540 26035830 31242996 33846579 37607310 39053745 45128772 52071660 56410965 67693158 75214620 78107490 101539737 112821930 135386316 156214980 169232895 203079474 225643860 338465790 406158948 507698685 676931580 1015397370 2030794740