Search a number
-
+
67919904 = 2533136047
BaseRepresentation
bin1000000110001…
…10000000100000
311201210200121000
410003012000200
5114341414104
610423432000
71453211133
oct403060040
9151720530
1067919904
1135380258
121a8b5600
13110c0ac0
14904021a
155e69639
hex40c6020

67919904 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 20894976.

The previous prime is 67919881. The next prime is 67919909. The reversal of 67919904 is 40991976.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×679199042 = 9226226718738432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67919904.

It is not an unprimeable number, because it can be changed into a prime (67919909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8209 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 267919904 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 67919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

67919904 is an abundant number, since it is smaller than the sum of its proper divisors (145453536).

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

67919904 is a wasteful number, since it uses less digits than its factorization.

67919904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 67919904 is about 8241.3532869305. The cubic root of 67919904 is about 408.0051902454.

The spelling of 67919904 in words is "sixty-seven million, nine hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 6047 11232 12094 18141 24188 36282 48376 54423 72564 78611 96752 108846 145128 157222 163269 193504 217692 235833 290256 314444 326538 435384 471666 580512 628888 653076 707499 870768 943332 1257776 1306152 1414998 1741536 1886664 2122497 2515552 2612304 2829996 3773328 4244994 5224608 5659992 7546656 8489988 11319984 16979976 22639968 33959952 67919904