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6042818040 = 2335717940189
BaseRepresentation
bin1011010000010111…
…00001010111111000
3120121010121221222120
411220023201113320
544333430134130
62435342321240
7302514051210
oct55013412770
916533557876
106042818040
1126210166a6
121207889220
13753c0b19c
14414797240
15255794910
hex1682e15f8

6042818040 has 128 divisors (see below), whose sum is σ = 20834496000. Its totient is φ = 1373465088.

The previous prime is 6042817987. The next prime is 6042818063. The reversal of 6042818040 is 408182406.

It is a junction number, because it is equal to n+sod(n) for n = 6042817992 and 6042818010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130266 + ... + 170454.

It is an arithmetic number, because the mean of its divisors is an integer number (162769500).

Almost surely, 26042818040 is an apocalyptic number.

6042818040 is a gapful number since it is divisible by the number (60) 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 6042818040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417248000).

6042818040 is an abundant number, since it is smaller than the sum of its proper divisors (14791677960).

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

6042818040 is a wasteful number, since it uses less digits than its factorization.

6042818040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40389 (or 40385 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 6042818040 is about 77735.5648336075. The cubic root of 6042818040 is about 1821.4328811806.

The spelling of 6042818040 in words is "six billion, forty-two million, eight hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 179 210 280 358 420 537 716 840 895 1074 1253 1432 1790 2148 2506 2685 3580 3759 4296 5012 5370 6265 7160 7518 10024 10740 12530 15036 18795 21480 25060 30072 37590 40189 50120 75180 80378 120567 150360 160756 200945 241134 281323 321512 401890 482268 562646 602835 803780 843969 964536 1125292 1205670 1406615 1607560 1687938 2250584 2411340 2813230 3375876 4219845 4822680 5626460 6751752 7193831 8439690 11252920 14387662 16879380 21581493 28775324 33758760 35969155 43162986 50356817 57550648 71938310 86325972 100713634 107907465 143876620 151070451 172651944 201427268 215814930 251784085 287753240 302140902 402854536 431629860 503568170 604281804 755352255 863259720 1007136340 1208563608 1510704510 2014272680 3021409020 6042818040