Search a number
-
+
78672150 = 23252792213
BaseRepresentation
bin1001011000001…
…11000100010110
312111000221220100
410230013010112
5130120002100
611450114530
71643462604
oct454070426
9174027810
1078672150
1140454607
122241ba46
13133b6b8b
14a63c874
156d90400
hex4b07116

78672150 has 72 divisors (see below), whose sum is σ = 214138080. Its totient is φ = 20704320.

The previous prime is 78672133. The next prime is 78672163. The reversal of 78672150 is 5127687.

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 35 ways as a sum of consecutive naturals, for example, 34444 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (2974140).

Almost surely, 278672150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78672150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107069040).

78672150 is an abundant number, since it is smaller than the sum of its proper divisors (135465930).

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

78672150 is a wasteful number, since it uses less digits than its factorization.

78672150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 78672150 is about 8869.7322394760. The cubic root of 78672150 is about 428.4896534452.

The spelling of 78672150 in words is "seventy-eight million, six hundred seventy-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 1185 1422 1975 2213 2370 3555 3950 4426 5925 6639 7110 11065 11850 13278 17775 19917 22130 33195 35550 39834 55325 66390 99585 110650 165975 174827 199170 331950 349654 497925 524481 874135 995850 1048962 1573443 1748270 2622405 3146886 4370675 5244810 7867215 8741350 13112025 15734430 26224050 39336075 78672150