Search a number
-
+
4415210940 = 2235764316349
BaseRepresentation
bin1000001110010101…
…01100010110111100
3102101200222221210010
410013022230112330
533020243222230
62010041143220
7214261450050
oct40712542674
912350887703
104415210940
1119662a9368
12a3278ab10
1355495a66a
142dc557c60
151ac9409b0
hex1072ac5bc

4415210940 has 96 divisors (see below), whose sum is σ = 14151513600. Its totient is φ = 1007559936.

The previous prime is 4415210909. The next prime is 4415210941. The reversal of 4415210940 is 490125144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4415210898 and 4415210907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415210941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261886 + ... + 278234.

It is an arithmetic number, because the mean of its divisors is an integer number (147411600).

Almost surely, 24415210940 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 4415210940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075756800).

4415210940 is an abundant number, since it is smaller than the sum of its proper divisors (9736302660).

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

4415210940 is a wasteful number, since it uses less digits than its factorization.

4415210940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17011 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4415210940 is about 66447.0536592858. The cubic root of 4415210940 is about 1640.5286492242.

The spelling of 4415210940 in words is "four billion, four hundred fifteen million, two hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 643 1286 1929 2572 3215 3858 4501 6430 7716 9002 9645 12860 13503 16349 18004 19290 22505 27006 32698 38580 45010 49047 54012 65396 67515 81745 90020 98094 114443 135030 163490 196188 228886 245235 270060 326980 343329 457772 490470 572215 686658 980940 1144430 1373316 1716645 2288860 3433290 6866580 10512407 21024814 31537221 42049628 52562035 63074442 73586849 105124070 126148884 147173698 157686105 210248140 220760547 294347396 315372210 367934245 441521094 630744420 735868490 883042188 1103802735 1471736980 2207605470 4415210940