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36696420 = 22325203869
BaseRepresentation
bin1000101111111…
…1000101100100
32120001101000200
42023333011210
533343241140
63350310500
7623625435
oct213770544
976041020
1036696420
1119794622
1210358430
1377aac77
144c3348c
15334d030
hex22ff164

36696420 has 36 divisors (see below), whose sum is σ = 111313020. Its totient is φ = 9785664.

The previous prime is 36696419. The next prime is 36696427. The reversal of 36696420 is 2469663.

36696420 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26811684 + 9884736 = 5178^2 + 3144^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (36696427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101755 + ... + 102114.

Almost surely, 236696420 is an apocalyptic number.

36696420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36696420 is an abundant number, since it is smaller than the sum of its proper divisors (74616600).

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

36696420 is a wasteful number, since it uses less digits than its factorization.

36696420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203884 (or 203879 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36696420 is about 6057.7570106435. The cubic root of 36696420 is about 332.3083335794.

The spelling of 36696420 in words is "thirty-six million, six hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 203869 407738 611607 815476 1019345 1223214 1834821 2038690 2446428 3058035 3669642 4077380 6116070 7339284 9174105 12232140 18348210 36696420