Search a number
-
+
68835690 = 23357211243
BaseRepresentation
bin1000001101001…
…01100101101010
311210112012211000
410012211211222
5120110220230
610455215430
71464044100
oct406454552
9153465730
1068835690
1135946300
121b077576
13113518a1
1491dbc70
15609ab60
hex41a596a

68835690 has 288 divisors, whose sum is σ = 240166080. Its totient is φ = 13970880.

The previous prime is 68835677. The next prime is 68835721. The reversal of 68835690 is 9653886.

68835690 is a `hidden beast` number, since 6 + 8 + 83 + 569 + 0 = 666.

It is a super-2 number, since 2×688356902 = 9476704435552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1600809 + ... + 1600851.

It is an arithmetic number, because the mean of its divisors is an integer number (833910).

Almost surely, 268835690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68835690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120083040).

68835690 is an abundant number, since it is smaller than the sum of its proper divisors (171330390).

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

68835690 is a wasteful number, since it uses less digits than its factorization.

68835690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68835690 is about 8296.7276681834. The cubic root of 68835690 is about 409.8307649753.

The spelling of 68835690 in words is "sixty-eight million, eight hundred thirty-five thousand, six hundred ninety".