Search a number
-
+
67453380 = 22325374741
BaseRepresentation
bin1000000010101…
…00000111000100
311200220222122100
410001110013010
5114232002010
610405432100
71446226041
oct401240704
9150828570
1067453380
11350917a5
121a70b630
1310c89657
148d5c1c8
155dc62c0
hex40541c4

67453380 has 36 divisors (see below), whose sum is σ = 204609132. Its totient is φ = 17987520.

The previous prime is 67453357. The next prime is 67453381. The reversal of 67453380 is 8335476.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 51581124 = 3984^2 + 7182^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (67453381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187191 + ... + 187550.

It is an arithmetic number, because the mean of its divisors is an integer number (5683587).

Almost surely, 267453380 is an apocalyptic number.

67453380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67453380 is an abundant number, since it is smaller than the sum of its proper divisors (137155752).

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

67453380 is a wasteful number, since it uses less digits than its factorization.

67453380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374756 (or 374751 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67453380 is about 8213.0006696700. Note that the first 3 decimals coincide. The cubic root of 67453380 is about 407.0688830120.

The spelling of 67453380 in words is "sixty-seven million, four hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 374741 749482 1124223 1498964 1873705 2248446 3372669 3747410 4496892 5621115 6745338 7494820 11242230 13490676 16863345 22484460 33726690 67453380