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20274000 = 2435331109
BaseRepresentation
bin100110101010…
…1101101010000
31102011000200220
41031111231100
520142232000
62002313040
7334216605
oct115255520
942130626
1020274000
111049817a
126958780
13427b066
14299a6ac
151ba71a0
hex1355b50

20274000 has 160 divisors (see below), whose sum is σ = 68090880. Its totient is φ = 5184000.

The previous prime is 20273989. The next prime is 20274011. The reversal of 20274000 is 47202.

It is an interprime number because it is at equal distance from previous prime (20273989) and next prime (20274011).

It is a super-2 number, since 2×202740002 = 822070152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 185946 + ... + 186054.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 220274000 is an apocalyptic number.

20274000 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 20274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045440).

20274000 is an abundant number, since it is smaller than the sum of its proper divisors (47816880).

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

20274000 is a wasteful number, since it uses less digits than its factorization.

20274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20274000 is about 4502.6658770111. The cubic root of 20274000 is about 272.6757276324.

The spelling of 20274000 in words is "twenty million, two hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 109 120 124 125 150 155 186 200 218 240 248 250 300 310 327 372 375 400 436 465 496 500 545 600 620 654 744 750 775 872 930 1000 1090 1200 1240 1308 1488 1500 1550 1635 1744 1860 2000 2180 2325 2480 2616 2725 3000 3100 3270 3379 3720 3875 4360 4650 5232 5450 6000 6200 6540 6758 7440 7750 8175 8720 9300 10137 10900 11625 12400 13080 13516 13625 15500 16350 16895 18600 20274 21800 23250 26160 27032 27250 31000 32700 33790 37200 40548 40875 43600 46500 50685 54064 54500 62000 65400 67580 81096 81750 84475 93000 101370 109000 130800 135160 162192 163500 168950 186000 202740 218000 253425 270320 327000 337900 405480 422375 506850 654000 675800 810960 844750 1013700 1267125 1351600 1689500 2027400 2534250 3379000 4054800 5068500 6758000 10137000 20274000