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33136420 = 22561157173
BaseRepresentation
bin111111001100…
…1111100100100
32022100111121211
41332121330210
531440331140
63142121204
7551440432
oct176317444
968314554
1033136420
1117782979
12b120204
136b32765
144587d52
152d982ea
hex1f99f24

33136420 has 48 divisors (see below), whose sum is σ = 71589168. Its totient is φ = 12879360.

The previous prime is 33136403. The next prime is 33136421. The reversal of 33136420 is 2463133.

It can be written as a sum of positive squares in 8 ways, for example, as 1865956 + 31270464 = 1366^2 + 5592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33136391 and 33136400.

It is not an unprimeable number, because it can be changed into a prime (33136421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191454 + ... + 191626.

It is an arithmetic number, because the mean of its divisors is an integer number (1491441).

Almost surely, 233136420 is an apocalyptic number.

It is an amenable number.

33136420 is an abundant number, since it is smaller than the sum of its proper divisors (38452748).

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

33136420 is a wasteful number, since it uses less digits than its factorization.

33136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 33136420 is about 5756.4242373196. The cubic root of 33136420 is about 321.1948170896.

Adding to 33136420 its reverse (2463133), we get a palindrome (35599553).

The spelling of 33136420 in words is "thirty-three million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 157 173 244 305 314 346 610 628 692 785 865 1220 1570 1730 3140 3460 9577 10553 19154 21106 27161 38308 42212 47885 52765 54322 95770 105530 108644 135805 191540 211060 271610 543220 1656821 3313642 6627284 8284105 16568210 33136420