Search a number
-
+
67764380 = 22517241827
BaseRepresentation
bin1000000101000…
…00000010011100
311201111210020212
410002200002130
5114321430010
610420231552
71451662535
oct402400234
9151453225
1067764380
1135284422
121a83b5b8
1311068088
148ddd68c
155e38505
hex40a009c

67764380 has 48 divisors (see below), whose sum is σ = 151484256. Its totient is φ = 25374720.

The previous prime is 67764379. The next prime is 67764401. The reversal of 67764380 is 8346776.

It is a super-2 number, since 2×677643802 = 9184022393568800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81527 + ... + 82353.

It is an arithmetic number, because the mean of its divisors is an integer number (3155922).

Almost surely, 267764380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67764380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75742128).

67764380 is an abundant number, since it is smaller than the sum of its proper divisors (83719876).

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

67764380 is a wasteful number, since it uses less digits than its factorization.

67764380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 67764380 is about 8231.9122930216. The cubic root of 67764380 is about 407.6935334739.

The spelling of 67764380 in words is "sixty-seven million, seven hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 827 964 1205 1654 2410 3308 4097 4135 4820 8194 8270 14059 16388 16540 20485 28118 40970 56236 70295 81940 140590 199307 281180 398614 797228 996535 1993070 3388219 3986140 6776438 13552876 16941095 33882190 67764380