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68190624 = 2532236773
BaseRepresentation
bin1000001000010…
…00000110100000
311202022102221200
410010020012200
5114424044444
610433321200
71455416325
oct404100640
9152272850
1068190624
1135545697
121aa06200
13111870a8
1490b0b4c
155ebe969
hex41081a0

68190624 has 36 divisors (see below), whose sum is σ = 193917906. Its totient is φ = 22730112.

The previous prime is 68190623. The next prime is 68190631. The reversal of 68190624 is 42609186.

It can be written as a sum of positive squares in only one way, i.e., 61779600 + 6411024 = 7860^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×681906242 = 9299922403018752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68190623) 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, 118099 + ... + 118674.

Almost surely, 268190624 is an apocalyptic number.

It is an amenable number.

68190624 is an abundant number, since it is smaller than the sum of its proper divisors (125727282).

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

68190624 is a wasteful number, since it uses less digits than its factorization.

68190624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236789 (or 236778 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68190624 is about 8257.7614400030. The cubic root of 68190624 is about 408.5465570090.

The spelling of 68190624 in words is "sixty-eight million, one hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 236773 473546 710319 947092 1420638 1894184 2130957 2841276 3788368 4261914 5682552 7576736 8523828 11365104 17047656 22730208 34095312 68190624