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26430120 = 2332573417
BaseRepresentation
bin110010011010…
…0101010101000
31211201210022100
41210310222220
523231230440
62342253400
7440436513
oct144645250
954653270
1026430120
1113a12382
128a27260
135625132
14371dd7a
1524c1230
hex1934aa8

26430120 has 48 divisors (see below), whose sum is σ = 85899060. Its totient is φ = 7047936.

The previous prime is 26430091. The next prime is 26430127. The reversal of 26430120 is 2103462.

It is a happy number.

26430120 is a `hidden beast` number, since 2 + 643 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26193924 + 236196 = 5118^2 + 486^2 .

It is a super-3 number, since 3×264301203 (a number of 23 digits) contains 333 as substring.

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 = 26430093 and 26430102.

It is not an unprimeable number, because it can be changed into a prime (26430127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36349 + ... + 37068.

Almost surely, 226430120 is an apocalyptic number.

26430120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26430120 is an abundant number, since it is smaller than the sum of its proper divisors (59468940).

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

26430120 is a wasteful number, since it uses less digits than its factorization.

26430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73434 (or 73427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26430120 is about 5141.0232444524. The cubic root of 26430120 is about 297.8743070054.

Adding to 26430120 its reverse (2103462), we get a palindrome (28533582).

The spelling of 26430120 in words is "twenty-six million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 73417 146834 220251 293668 367085 440502 587336 660753 734170 881004 1101255 1321506 1468340 1762008 2202510 2643012 2936680 3303765 4405020 5286024 6607530 8810040 13215060 26430120