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3138072 = 233718679
BaseRepresentation
bin1011111110001000011000
312220102121220
423332020120
51300404242
6151132040
735446620
oct13761030
95812556
103138072
111853753
121074020
1385b462
145b9880
1541ebec
hex2fe218

3138072 has 32 divisors (see below), whose sum is σ = 8966400. Its totient is φ = 896544.

The previous prime is 3138071. The next prime is 3138073. The reversal of 3138072 is 2708313.

3138072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3138071) and next prime (3138073).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9172 + ... + 9507.

It is an arithmetic number, because the mean of its divisors is an integer number (280200).

Almost surely, 23138072 is an apocalyptic number.

It is an amenable number.

3138072 is an abundant number, since it is smaller than the sum of its proper divisors (5828328).

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

3138072 is a wasteful number, since it uses less digits than its factorization.

3138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3138072 is about 1771.4604144603. The cubic root of 3138072 is about 146.4044580445.

It can be divided in two parts, 313 and 8072, that added together give a triangular number (8385 = T129).

The spelling of 3138072 in words is "three million, one hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 18679 37358 56037 74716 112074 130753 149432 224148 261506 392259 448296 523012 784518 1046024 1569036 3138072