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256019940 = 22355114789
BaseRepresentation
bin11110100001010…
…00110111100100
3122211202011100000
433100220313210
51011020114230
641223221300
76226063551
oct1720506744
9584664300
10256019940
11121575630
12718a7830
134106c7b7
1426005a28
1517722b60
hexf428de4

256019940 has 144 divisors (see below), whose sum is σ = 878754240. Its totient is φ = 62052480.

The previous prime is 256019879. The next prime is 256019947. The reversal of 256019940 is 49910652.

256019940 is a `hidden beast` number, since 2 + 5 + 601 + 9 + 9 + 40 = 666.

256019940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256019895 and 256019904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256019947) 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, 51066 + ... + 55854.

It is an arithmetic number, because the mean of its divisors is an integer number (6102460).

Almost surely, 2256019940 is an apocalyptic number.

256019940 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 256019940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439377120).

256019940 is an abundant number, since it is smaller than the sum of its proper divisors (622734300).

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

256019940 is a wasteful number, since it uses less digits than its factorization.

256019940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 256019940 is about 16000.6231128666. The cubic root of 256019940 is about 634.9769061806.

It can be divided in two parts, 2560 and 19940, that added together give a square (22500 = 1502).

The spelling of 256019940 in words is "two hundred fifty-six million, nineteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4789 4860 5346 5940 8910 9578 10692 13365 14367 17820 19156 23945 26730 28734 43101 47890 52679 53460 57468 71835 86202 95780 105358 129303 143670 158037 172404 210716 215505 258606 263395 287340 316074 387909 431010 474111 517212 526790 632148 646515 775818 790185 862020 948222 1053580 1163727 1293030 1422333 1551636 1580370 1896444 1939545 2327454 2370555 2586060 2844666 3160740 3879090 4266999 4654908 4741110 5689332 5818635 7111665 7758180 8533998 9482220 11637270 12800997 14223330 17067996 21334995 23274540 25601994 28446660 42669990 51203988 64004985 85339980 128009970 256019940