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4068480 = 273513163
BaseRepresentation
bin1111100001010010000000
321122200220110
433201102000
52020142410
6223111320
746403313
oct17412200
97580813
104068480
112329789
121442540
13ac5ab0
1477c97a
15555720
hex3e1480

4068480 has 128 divisors (see below), whose sum is σ = 14051520. Its totient is φ = 995328.

The previous prime is 4068479. The next prime is 4068487. The reversal of 4068480 is 848604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068487) 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, 24879 + ... + 25041.

Almost surely, 24068480 is an apocalyptic number.

4068480 is a gapful number since it is divisible by the number (40) 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 4068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025760).

4068480 is an abundant number, since it is smaller than the sum of its proper divisors (9983040).

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

4068480 is a wasteful number, since it uses less digits than its factorization.

4068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4068480 is about 2017.0473469901. The cubic root of 4068480 is about 159.6408611403.

The spelling of 4068480 in words is "four million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 163 192 195 208 240 260 312 320 326 384 390 416 480 489 520 624 640 652 780 815 832 960 978 1040 1248 1304 1560 1630 1664 1920 1956 2080 2119 2445 2496 2608 3120 3260 3912 4160 4238 4890 4992 5216 6240 6357 6520 7824 8320 8476 9780 10432 10595 12480 12714 13040 15648 16952 19560 20864 21190 24960 25428 26080 31296 31785 33904 39120 42380 50856 52160 62592 63570 67808 78240 84760 101712 104320 127140 135616 156480 169520 203424 254280 271232 312960 339040 406848 508560 678080 813696 1017120 1356160 2034240 4068480