Search a number
-
+
68032100 = 2252680321
BaseRepresentation
bin1000000111000…
…01011001100100
311202000101111102
410003201121210
5114404011400
610430055232
71454156213
oct403413144
9152011442
1068032100
1135447584
121a94a518
131112cba6
14906d07a
155e8c9d5
hex40e1664

68032100 has 18 divisors (see below), whose sum is σ = 147629874. Its totient is φ = 27212800.

The previous prime is 68032087. The next prime is 68032109. The reversal of 68032100 is 123086.

It can be written as a sum of positive squares in 3 ways, for example, as 17707264 + 50324836 = 4208^2 + 7094^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68032109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340061 + ... + 340260.

Almost surely, 268032100 is an apocalyptic number.

It is an amenable number.

68032100 is an abundant number, since it is smaller than the sum of its proper divisors (79597774).

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

68032100 is a wasteful number, since it uses less digits than its factorization.

68032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680335 (or 680328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 68032100 is about 8248.1573699827. The cubic root of 68032100 is about 408.2297261317.

Adding to 68032100 its reverse (123086), we get a palindrome (68155186).

The spelling of 68032100 in words is "sixty-eight million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 680321 1360642 2721284 3401605 6803210 13606420 17008025 34016050 68032100