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20025456 = 24311172397
BaseRepresentation
bin100110001100…
…1000001110000
31101200101202120
41030121001300
520111303311
61553114240
7332133153
oct114310160
941611676
1020025456
1110338470
126858980
1341c1ba9
142933c9a
151b58706
hex1319070

20025456 has 160 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5406720.

The previous prime is 20025443. The next prime is 20025461. The reversal of 20025456 is 65452002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 206400 + ... + 206496.

Almost surely, 220025456 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 20025456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20025456 is an abundant number, since it is smaller than the sum of its proper divisors (42970512).

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

20025456 is a wasteful number, since it uses less digits than its factorization.

20025456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20025456 is about 4474.9811172786. The cubic root of 20025456 is about 271.5568765253.

Adding to 20025456 its reverse (65452002), we get a palindrome (85477458).

The spelling of 20025456 in words is "twenty million, twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 23 24 33 34 44 46 48 51 66 68 69 88 92 97 102 132 136 138 176 184 187 194 204 253 264 272 276 291 368 374 388 391 408 506 528 552 561 582 748 759 776 782 816 1012 1067 1104 1122 1164 1173 1496 1518 1552 1564 1649 2024 2134 2231 2244 2328 2346 2992 3036 3128 3201 3298 4048 4268 4301 4462 4488 4656 4692 4947 6072 6256 6402 6596 6693 8536 8602 8924 8976 9384 9894 12144 12804 12903 13192 13386 17072 17204 17848 18139 18768 19788 24541 25608 25806 26384 26772 34408 35696 36278 37927 39576 49082 51216 51612 53544 54417 68816 72556 73623 75854 79152 98164 103224 107088 108834 113781 145112 147246 151708 196328 206448 217668 227562 290224 294492 303416 392656 417197 435336 455124 588984 606832 834394 870672 910248 1177968 1251591 1668788 1820496 2503182 3337576 5006364 6675152 10012728 20025456