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66402420 = 22357374273
BaseRepresentation
bin1111110101001…
…1100001110100
311121221120222220
43331103201310
5113444334140
610331122340
71434261030
oct375234164
9147846886
1066402420
1134534137
121a2a33b0
13109ac196
148b671c0
155c69bd0
hex3f53874

66402420 has 96 divisors (see below), whose sum is σ = 218281728. Its totient is φ = 14764032.

The previous prime is 66402419. The next prime is 66402433. The reversal of 66402420 is 2420466.

It is a super-4 number, since 4×664024204 (a number of 32 digits) contains 4444 as substring.

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, 13404 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (2273768).

Almost surely, 266402420 is an apocalyptic number.

66402420 is a gapful number since it is divisible by the number (60) 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 66402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109140864).

66402420 is an abundant number, since it is smaller than the sum of its proper divisors (151879308).

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

66402420 is a wasteful number, since it uses less digits than its factorization.

66402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66402420 is about 8148.7680050422. The cubic root of 66402420 is about 404.9436897782.

Adding to 66402420 its reverse (2420466), we get a palindrome (68822886).

The spelling of 66402420 in words is "sixty-six million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 4273 5180 7770 8546 12819 15540 17092 21365 25638 29911 42730 51276 59822 64095 85460 89733 119644 128190 149555 158101 179466 256380 299110 316202 358932 448665 474303 598220 632404 790505 897330 948606 1106707 1581010 1794660 1897212 2213414 2371515 3162020 3320121 4426828 4743030 5533535 6640242 9486060 11067070 13280484 16600605 22134140 33201210 66402420