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6423840 = 253351487
BaseRepresentation
bin11000100000010100100000
3110002100212000
4120200110200
53121030330
6345404000
7105413253
oct30402440
913070760
106423840
113698365
122199600
13143bbb7
14bd309a
1586d560
hex620520

6423840 has 96 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1711872.

The previous prime is 6423827. The next prime is 6423853. The reversal of 6423840 is 483246.

It is an interprime number because it is at equal distance from previous prime (6423827) and next prime (6423853).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 26423840 is an apocalyptic number.

6423840 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 6423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6423840 is an abundant number, since it is smaller than the sum of its proper divisors (16074720).

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

6423840 is a wasteful number, since it uses less digits than its factorization.

6423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6423840 is about 2534.5295421439. The cubic root of 6423840 is about 185.8937999366.

The spelling of 6423840 in words is "six million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 1487 2160 2974 4320 4461 5948 7435 8922 11896 13383 14870 17844 22305 23792 26766 29740 35688 40149 44610 47584 53532 59480 66915 71376 80298 89220 107064 118960 133830 142752 160596 178440 200745 214128 237920 267660 321192 356880 401490 428256 535320 642384 713760 802980 1070640 1284768 1605960 2141280 3211920 6423840