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6054840 = 23325112139
BaseRepresentation
bin10111000110001110111000
3102101121200100
4113012032320
53022223330
6333435400
7102315411
oct27061670
912347610
106054840
113466100
12203bb60
13133cc5c
14b38808
157e9060
hex5c63b8

6054840 has 144 divisors (see below), whose sum is σ = 21785400. Its totient is φ = 1457280.

The previous prime is 6054833. The next prime is 6054877. The reversal of 6054840 is 484506.

6054840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×60548402 = 73322174851200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43491 + ... + 43629.

Almost surely, 26054840 is an apocalyptic number.

6054840 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 6054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892700).

6054840 is an abundant number, since it is smaller than the sum of its proper divisors (15730560).

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

6054840 is a wasteful number, since it uses less digits than its factorization.

6054840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6054840 is about 2460.6584484646. The cubic root of 6054840 is about 182.2639971863.

It can be divided in two parts, 605 and 4840, that added together give a palindrome (5445).

The spelling of 6054840 in words is "six million, fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 139 165 180 198 220 242 264 278 330 360 363 396 417 440 484 495 556 605 660 695 726 792 834 968 990 1089 1112 1210 1251 1320 1390 1452 1529 1668 1815 1980 2085 2178 2420 2502 2780 2904 3058 3336 3630 3960 4170 4356 4587 4840 5004 5445 5560 6116 6255 7260 7645 8340 8712 9174 10008 10890 12232 12510 13761 14520 15290 16680 16819 18348 21780 22935 25020 27522 30580 33638 36696 43560 45870 50040 50457 55044 61160 67276 68805 84095 91740 100914 110088 134552 137610 151371 168190 183480 201828 252285 275220 302742 336380 403656 504570 550440 605484 672760 756855 1009140 1210968 1513710 2018280 3027420 6054840