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51140320 = 2557211593
BaseRepresentation
bin1100001100010…
…1011011100000
310120020012022221
43003011123200
5101042442240
65024040424
71160454100
oct303053340
9116205287
1051140320
112695a530
1215163114
13a79745a
146b13200
154752a4a
hex30c56e0

51140320 has 144 divisors (see below), whose sum is σ = 153579888. Its totient is φ = 15912960.

The previous prime is 51140317. The next prime is 51140333. The reversal of 51140320 is 2304115.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 51140294 and 51140303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85944 + ... + 86536.

It is an arithmetic number, because the mean of its divisors is an integer number (1066527).

Almost surely, 251140320 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 51140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76789944).

51140320 is an abundant number, since it is smaller than the sum of its proper divisors (102439568).

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

51140320 is a wasteful number, since it uses less digits than its factorization.

51140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51140320 is about 7151.2460452707. The cubic root of 51140320 is about 371.1827745425.

Adding to 51140320 its reverse (2304115), we get a palindrome (53444435).

The spelling of 51140320 in words is "fifty-one million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 593 616 770 784 880 980 1078 1120 1186 1232 1540 1568 1760 1960 2156 2372 2464 2695 2965 3080 3920 4151 4312 4744 5390 5930 6160 6523 7840 8302 8624 9488 10780 11860 12320 13046 16604 17248 18976 20755 21560 23720 26092 29057 32615 33208 41510 43120 45661 47440 52184 58114 65230 66416 83020 86240 91322 94880 104368 116228 130460 132832 145285 166040 182644 208736 228305 232456 260920 290570 319627 332080 365288 456610 464912 521840 581140 639254 664160 730576 913220 929824 1043680 1162280 1278508 1461152 1598135 1826440 2324560 2557016 3196270 3652880 4649120 5114032 6392540 7305760 10228064 12785080 25570160 51140320