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36102420 = 22325200569
BaseRepresentation
bin1000100110111…
…0000100010100
32111221012012200
42021232010110
533220234140
63325444500
7615602604
oct211560424
974835180
1036102420
1119419312
1210110730
1376307a3
144b1ac04
153282030
hex226e114

36102420 has 36 divisors (see below), whose sum is σ = 109511220. Its totient is φ = 9627264.

The previous prime is 36102401. The next prime is 36102457. The reversal of 36102420 is 2420163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 26255376 = 3138^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 36102393 and 36102402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100105 + ... + 100464.

Almost surely, 236102420 is an apocalyptic number.

36102420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36102420 is an abundant number, since it is smaller than the sum of its proper divisors (73408800).

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

36102420 is a wasteful number, since it uses less digits than its factorization.

36102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200584 (or 200579 counting only the distinct ones).

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

The square root of 36102420 is about 6008.5289381012. The cubic root of 36102420 is about 330.5055611711.

Adding to 36102420 its reverse (2420163), we get a palindrome (38522583).

The spelling of 36102420 in words is "thirty-six million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 200569 401138 601707 802276 1002845 1203414 1805121 2005690 2406828 3008535 3610242 4011380 6017070 7220484 9025605 12034140 18051210 36102420