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26220420 = 223253137127
BaseRepresentation
bin110010000000…
…1011110000100
31211100010122200
41210001132010
523203023140
62333554500
7435604242
oct144013604
954303580
1026220420
1113889876
128945a30
135580855
1436a7792
15247e030
hex1901784

26220420 has 144 divisors (see below), whose sum is σ = 84983808. Its totient is φ = 6531840.

The previous prime is 26220419. The next prime is 26220421. The reversal of 26220420 is 2402262.

It is a happy number.

26220420 is a `hidden beast` number, since 2 + 622 + 0 + 42 + 0 = 666.

26220420 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (26220419) and next prime (26220421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26220393 and 26220402.

It is not an unprimeable number, because it can be changed into a prime (26220421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206397 + ... + 206523.

Almost surely, 226220420 is an apocalyptic number.

26220420 is a gapful number since it is divisible by the number (20) 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 26220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42491904).

26220420 is an abundant number, since it is smaller than the sum of its proper divisors (58763388).

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

26220420 is a wasteful number, since it uses less digits than its factorization.

26220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26220420 is about 5120.5878568774. The cubic root of 26220420 is about 297.0844231654.

Adding to 26220420 its reverse (2402262), we get a palindrome (28622682).

The spelling of 26220420 in words is "twenty-six million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 127 148 155 180 185 186 222 254 279 310 333 370 372 381 444 465 508 555 558 620 635 666 740 762 930 1110 1116 1143 1147 1270 1332 1395 1524 1665 1860 1905 2220 2286 2294 2540 2790 3330 3441 3810 3937 4572 4588 4699 5580 5715 5735 6660 6882 7620 7874 9398 10323 11430 11470 11811 13764 14097 15748 17205 18796 19685 20646 22860 22940 23495 23622 28194 34410 35433 39370 41292 42291 46990 47244 51615 56388 59055 68820 70485 70866 78740 84582 93980 103230 118110 140970 141732 145669 169164 177165 206460 211455 236220 281940 291338 354330 422910 437007 582676 708660 728345 845820 874014 1311021 1456690 1748028 2185035 2622042 2913380 4370070 5244084 6555105 8740140 13110210 26220420