Search a number
-
+
67800384 = 2632117709
BaseRepresentation
bin1000000101010…
…00110101000000
311201120121122100
410002220311000
5114324103014
610421110400
71452202521
oct402506500
9151517570
1067800384
11352a9483
121a858400
131107b592
14900c848
155e44009
hex40a8d40

67800384 has 42 divisors (see below), whose sum is σ = 194339210. Its totient is φ = 22599936.

The previous prime is 67800377. The next prime is 67800427. The reversal of 67800384 is 48300876.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 12446784 = 7440^2 + 3528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58279 + ... + 59430.

Almost surely, 267800384 is an apocalyptic number.

67800384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67800384 is an abundant number, since it is smaller than the sum of its proper divisors (126538826).

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

67800384 is a wasteful number, since it uses less digits than its factorization.

67800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117727 (or 117714 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67800384 is about 8234.0988577986. The cubic root of 67800384 is about 407.7657247889.

The spelling of 67800384 in words is "sixty-seven million, eight hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 117709 235418 353127 470836 706254 941672 1059381 1412508 1883344 2118762 2825016 3766688 4237524 5650032 7533376 8475048 11300064 16950096 22600128 33900192 67800384