Search a number
-
+
68219904 = 210353419
BaseRepresentation
bin1000001000011…
…11010000000000
311202100221010010
410010033100000
5114431014104
610434104520
71455600564
oct404172000
9152327103
1068219904
1135565695
121aa1b140
131119750c
1490bb6a4
155ec8489
hex410f400

68219904 has 88 divisors (see below), whose sum is σ = 185703840. Its totient is φ = 22257664.

The previous prime is 68219891. The next prime is 68219911. The reversal of 68219904 is 40991286.

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 7 ways as a sum of consecutive naturals, for example, 162607 + ... + 163025.

Almost surely, 268219904 is an apocalyptic number.

68219904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851920).

68219904 is an abundant number, since it is smaller than the sum of its proper divisors (117483936).

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

68219904 is a wasteful number, since it uses less digits than its factorization.

68219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 68219904 is about 8259.5341272980. The cubic root of 68219904 is about 408.6050231674.

The spelling of 68219904 in words is "sixty-eight million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 419 424 512 636 768 838 848 1024 1257 1272 1536 1676 1696 2514 2544 3072 3352 3392 5028 5088 6704 6784 10056 10176 13408 13568 20112 20352 22207 26816 27136 40224 40704 44414 53632 54272 66621 80448 81408 88828 107264 133242 160896 162816 177656 214528 266484 321792 355312 429056 532968 643584 710624 1065936 1287168 1421248 2131872 2842496 4263744 5684992 8527488 11369984 17054976 22739968 34109952 68219904