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23078000 = 2453111049
BaseRepresentation
bin101100000001…
…0010001110000
31121102111001202
41120002101300
521401444000
62142350332
7400105541
oct130022160
947374052
1023078000
1112032930
12788b3a8
134a2042a
1430ca4c8
15205cdd5
hex1602470

23078000 has 80 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 8384000.

The previous prime is 23077991. The next prime is 23078009. The reversal of 23078000 is 87032.

It is an interprime number because it is at equal distance from previous prime (23077991) and next prime (23078009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23078009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21476 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 223078000 is an apocalyptic number.

23078000 is a gapful number since it is divisible by the number (20) 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 23078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

23078000 is an abundant number, since it is smaller than the sum of its proper divisors (37855600).

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

23078000 is a wasteful number, since it uses less digits than its factorization.

23078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 23078000 is about 4803.9567025526. The cubic root of 23078000 is about 284.7078158705.

The spelling of 23078000 in words is "twenty-three million, seventy-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1049 1100 1375 2000 2098 2200 2750 4196 4400 5245 5500 8392 10490 11000 11539 16784 20980 22000 23078 26225 41960 46156 52450 57695 83920 92312 104900 115390 131125 184624 209800 230780 262250 288475 419600 461560 524500 576950 923120 1049000 1153900 1442375 2098000 2307800 2884750 4615600 5769500 11539000 23078000