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6422240 = 255114189
BaseRepresentation
bin11000011111111011100000
3110002021122202
4120133323200
53121002430
6345352332
7105405506
oct30377340
913067582
106422240
113697140
1221986a8
13143b256
14bd2676
1586cd45
hex61fee0

6422240 has 96 divisors (see below), whose sum is σ = 17146080. Its totient is φ = 2252800.

The previous prime is 6422203. The next prime is 6422261. The reversal of 6422240 is 422246.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72116 + ... + 72204.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 26422240 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 6422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573040).

6422240 is an abundant number, since it is smaller than the sum of its proper divisors (10723840).

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

6422240 is a wasteful number, since it uses less digits than its factorization.

6422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6422240 is about 2534.2138820549. The cubic root of 6422240 is about 185.8783649955.

Adding to 6422240 its reverse (422246), we get a palindrome (6844486).

It can be divided in two parts, 642 and 2240, that added together give a palindrome (2882).

The spelling of 6422240 in words is "six million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 89 110 160 164 176 178 205 220 328 352 356 410 440 445 451 656 712 820 880 890 902 979 1312 1424 1640 1760 1780 1804 1958 2255 2848 3280 3560 3608 3649 3916 4510 4895 6560 7120 7216 7298 7832 9020 9790 14240 14432 14596 15664 18040 18245 19580 29192 31328 36080 36490 39160 40139 58384 72160 72980 78320 80278 116768 145960 156640 160556 200695 291920 321112 401390 583840 642224 802780 1284448 1605560 3211120 6422240