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68923440 = 24335171877
BaseRepresentation
bin1000001101110…
…11000000110000
311210200200012000
410012323000300
5120121022230
610501134000
71464560655
oct406730060
9153620160
1068923440
11359a6223
121b0ba300
1311382801
149221c2c
1560b6b60
hex41bb030

68923440 has 160 divisors (see below), whose sum is σ = 251501760. Its totient is φ = 17289216.

The previous prime is 68923429. The next prime is 68923441. The reversal of 68923440 is 4432986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68923395 and 68923404.

It is not an unprimeable number, because it can be changed into a prime (68923441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35782 + ... + 37658.

It is an arithmetic number, because the mean of its divisors is an integer number (1571886).

Almost surely, 268923440 is an apocalyptic number.

68923440 is a gapful number since it is divisible by the number (60) 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 68923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125750880).

68923440 is an abundant number, since it is smaller than the sum of its proper divisors (182578320).

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

68923440 is a wasteful number, since it uses less digits than its factorization.

68923440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68923440 is about 8302.0142134304. The cubic root of 68923440 is about 410.0048383328.

The spelling of 68923440 in words is "sixty-eight million, nine hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 1877 2040 2160 2295 2448 3060 3672 3754 4080 4590 5631 6120 7344 7508 9180 9385 11262 12240 15016 16893 18360 18770 22524 28155 30032 31909 33786 36720 37540 45048 50679 56310 63818 67572 75080 84465 90096 95727 101358 112620 127636 135144 150160 159545 168930 191454 202716 225240 253395 255272 270288 287181 319090 337860 382908 405432 450480 478635 506790 510544 574362 638180 675720 765816 810864 861543 957270 1013580 1148724 1276360 1351440 1435905 1531632 1723086 1914540 2027160 2297448 2552720 2871810 3446172 3829080 4054320 4307715 4594896 5743620 6892344 7658160 8615430 11487240 13784688 17230860 22974480 34461720 68923440