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36378036 = 22321010501
BaseRepresentation
bin1000101011000…
…1010110110100
32112110012021200
42022301112310
533303044121
63335412500
7621131262
oct212612664
975405250
1036378036
11195973a2
1210224130
1376c9086
144b8d432
1532d8a26
hex22b15b4

36378036 has 18 divisors (see below), whose sum is σ = 91955682. Its totient is φ = 12126000.

The previous prime is 36378031. The next prime is 36378037. The reversal of 36378036 is 63087363.

It can be written as a sum of positive squares in only one way, i.e., 22982436 + 13395600 = 4794^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1010501 = 36378036 / (3 + 6 + 3 + 7 + 8 + 0 + 3 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36378031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505215 + ... + 505286.

It is an arithmetic number, because the mean of its divisors is an integer number (5108649).

Almost surely, 236378036 is an apocalyptic number.

36378036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36378036 is an abundant number, since it is smaller than the sum of its proper divisors (55577646).

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

36378036 is a wasteful number, since it uses less digits than its factorization.

36378036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010511 (or 1010506 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36378036 is about 6031.4207281535. The cubic root of 36378036 is about 331.3444872972.

The spelling of 36378036 in words is "thirty-six million, three hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1010501 2021002 3031503 4042004 6063006 9094509 12126012 18189018 36378036