Search a number
-
+
83195370 = 23352313397
BaseRepresentation
bin1001111010101…
…11010111101010
312210112202121000
410331113113222
5132244222440
612131055430
72030102046
oct475272752
9183482530
1083195370
1142a63a05
1223a41576
131430b93b
14b099026
157485730
hex4f575ea

83195370 has 64 divisors (see below), whose sum is σ = 231517440. Its totient is φ = 21219264.

The previous prime is 83195353. The next prime is 83195407. The reversal of 83195370 is 7359138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489 + ... + 12908.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 283195370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83195370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115758720).

83195370 is an abundant number, since it is smaller than the sum of its proper divisors (148322070).

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

83195370 is a wasteful number, since it uses less digits than its factorization.

83195370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 83195370 is about 9121.1495985978. The cubic root of 83195370 is about 436.5490550790.

It can be divided in two parts, 8319 and 5370, that added together give a square (13689 = 1172).

The spelling of 83195370 in words is "eighty-three million, one hundred ninety-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 13397 26794 40191 66985 80382 120573 133970 200955 241146 308131 361719 401910 602865 616262 723438 924393 1205730 1540655 1808595 1848786 2773179 3081310 3617190 4621965 5546358 8319537 9243930 13865895 16639074 27731790 41597685 83195370