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51141420 = 2232511231123
BaseRepresentation
bin1100001100010…
…1101100101100
310120020020211200
43003011230230
5101043011140
65024045500
71160460231
oct303055454
9116206750
1051141420
1126960340
1215163890
13a797ac5
146b13788
154753030
hex30c5b2c

51141420 has 144 divisors (see below), whose sum is σ = 176746752. Its totient is φ = 11848320.

The previous prime is 51141379. The next prime is 51141439. The reversal of 51141420 is 2414115.

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 = 51141393 and 51141402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44979 + ... + 46101.

It is an arithmetic number, because the mean of its divisors is an integer number (1227408).

Almost surely, 251141420 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 51141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88373376).

51141420 is an abundant number, since it is smaller than the sum of its proper divisors (125605332).

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

51141420 is a wasteful number, since it uses less digits than its factorization.

51141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51141420 is about 7151.3229545309. The cubic root of 51141420 is about 371.1854358355.

Adding to 51141420 its reverse (2414115), we get a palindrome (53555535).

The spelling of 51141420 in words is "fifty-one million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1123 1265 1380 1518 1980 2070 2246 2277 2530 3036 3369 3795 4140 4492 4554 5060 5615 6738 7590 9108 10107 11230 11385 12353 13476 15180 16845 20214 22460 22770 24706 25829 33690 37059 40428 45540 49412 50535 51658 61765 67380 74118 77487 101070 103316 111177 123530 129145 148236 154974 185295 202140 222354 232461 247060 258290 284119 309948 370590 387435 444708 464922 516580 555885 568238 741180 774870 852357 929844 1111770 1136476 1162305 1420595 1549740 1704714 2223540 2324610 2557071 2841190 3409428 4261785 4649220 5114142 5682380 8523570 10228284 12785355 17047140 25570710 51141420