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2041413930 = 23251131811109
BaseRepresentation
bin111100110101101…
…1000000100101010
312021021021120110100
41321223120010222
513140100221210
6534322330230
7101405506053
oct17153300452
95237246410
102041413930
11958363556
1248b7b9976
13266c1764a
1415519972a
15be3435c0
hex79ad812a

2041413930 has 96 divisors (see below), whose sum is σ = 5389085520. Its totient is φ = 536094720.

The previous prime is 2041413929. The next prime is 2041413937. The reversal of 2041413930 is 393141402.

It can be written as a sum of positive squares in 8 ways, for example, as 156725361 + 1884688569 = 12519^2 + 43413^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2041413894 and 2041413903.

It is not an unprimeable number, because it can be changed into a prime (2041413937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840216 + ... + 1841324.

Almost surely, 22041413930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041413930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694542760).

2041413930 is an abundant number, since it is smaller than the sum of its proper divisors (3347671590).

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

2041413930 is a wasteful number, since it uses less digits than its factorization.

2041413930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2041413930 is about 45182.0089194803. The cubic root of 2041413930 is about 1268.5580861735.

The spelling of 2041413930 in words is "two billion, forty-one million, four hundred thirteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 181 226 339 362 543 565 678 905 1017 1086 1109 1130 1629 1695 1810 2034 2218 2715 3258 3327 3390 5085 5430 5545 6654 8145 9981 10170 11090 16290 16635 19962 20453 33270 40906 49905 61359 99810 102265 122718 125317 184077 200729 204530 250634 306795 368154 375951 401458 602187 613590 626585 751902 920385 1003645 1127853 1204374 1253170 1806561 1840770 1879755 2007290 2255706 3010935 3613122 3759510 5639265 6021870 9032805 11278530 18065610 22682377 45364754 68047131 113411885 136094262 204141393 226823770 340235655 408282786 680471310 1020706965 2041413930