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4261243120 = 245172325923
BaseRepresentation
bin1111110111111101…
…0110100011110000
3101222222021120122021
43331333112203300
532211334234440
61542501121224
7210411653221
oct37577264360
911888246567
104261243120
1118973a7032
129ab0b9214
1352ba9c744
142c5d19248
1519e17a84a
hexfdfd68f0

4261243120 has 120 divisors (see below), whose sum is σ = 10967954256. Its totient is φ = 1534224384.

The previous prime is 4261243117. The next prime is 4261243127. The reversal of 4261243120 is 213421624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261243127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716479 + ... + 722401.

Almost surely, 24261243120 is an apocalyptic number.

4261243120 is a gapful number since it is divisible by the number (40) 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 4261243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483977128).

4261243120 is an abundant number, since it is smaller than the sum of its proper divisors (6706711136).

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

4261243120 is a wasteful number, since it uses less digits than its factorization.

4261243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4261243120 is about 65278.1978917923. The cubic root of 4261243120 is about 1621.2330093747.

Adding to 4261243120 its reverse (213421624), we get a palindrome (4474664744).

The spelling of 4261243120 in words is "four billion, two hundred sixty-one million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 529 680 782 920 1058 1360 1564 1840 1955 2116 2645 3128 3910 4232 5290 5923 6256 7820 8464 8993 10580 11846 15640 17986 21160 23692 29615 31280 35972 42320 44965 47384 59230 71944 89930 94768 100691 118460 136229 143888 179860 201382 236920 272458 359720 402764 473840 503455 544916 681145 719440 805528 1006910 1089832 1362290 1611056 2013820 2179664 2315893 2724580 3133267 4027640 4631786 5449160 6266534 8055280 9263572 10898320 11579465 12533068 15666335 18527144 23158930 25066136 31332670 37054288 46317860 50132272 53265539 62665340 92635720 106531078 125330680 185271440 213062156 250661360 266327695 426124312 532655390 852248624 1065310780 2130621560 4261243120