Search a number
-
+
67921968 = 2431579013
BaseRepresentation
bin1000000110001…
…10100000110000
311201210210102110
410003012200300
5114342000333
610423445320
71453220142
oct403064060
9151723373
1067921968
1135381864
121a8b6840
13110c1a1a
149040c92
155e6a063
hex40c6830

67921968 has 40 divisors (see below), whose sum is σ = 176602288. Its totient is φ = 22493952.

The previous prime is 67921963. The next prime is 67921999. The reversal of 67921968 is 86912976.

It is a super-2 number, since 2×679219682 = 9226787473986048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67921963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3030 + ... + 12042.

Almost surely, 267921968 is an apocalyptic number.

It is an amenable number.

67921968 is an abundant number, since it is smaller than the sum of its proper divisors (108680320).

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

67921968 is a wasteful number, since it uses less digits than its factorization.

67921968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9175 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 67921968 is about 8241.4785081319. The cubic root of 67921968 is about 408.0093231241.

The spelling of 67921968 in words is "sixty-seven million, nine hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 9013 18026 27039 36052 54078 72104 108156 144208 216312 432624 1415041 2830082 4245123 5660164 8490246 11320328 16980492 22640656 33960984 67921968