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36918420 = 223571161131
BaseRepresentation
bin1000110011010…
…1010010010100
32120110122112220
42030311102110
533422342140
63355142340
7625541610
oct214652224
976418486
1036918420
11199263a0
12104449b0
137858026
144c90340
153393bd0
hex2335494

36918420 has 192 divisors, whose sum is σ = 131991552. Its totient is φ = 7488000.

The previous prime is 36918419. The next prime is 36918433. The reversal of 36918420 is 2481963.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 281755 + ... + 281885.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 236918420 is an apocalyptic number.

36918420 is a gapful number since it is divisible by the number (30) 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 36918420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

36918420 is an abundant number, since it is smaller than the sum of its proper divisors (95073132).

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

36918420 is a wasteful number, since it uses less digits than its factorization.

36918420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 36918420 is about 6076.0529951606. The cubic root of 36918420 is about 332.9771016548.

The spelling of 36918420 in words is "thirty-six million, nine hundred eighteen thousand, four hundred twenty".