Search a number
-
+
4069680 = 243531547
BaseRepresentation
bin1111100001100100110000
321122202112220
433201210300
52020212210
6223121040
746406646
oct17414460
97582486
104069680
11232a67a
121443180
13ac64c4
1477d196
15555c70
hex3e1930

4069680 has 80 divisors (see below), whose sum is σ = 13046784. Its totient is φ = 1048320.

The previous prime is 4069679. The next prime is 4069687. The reversal of 4069680 is 869604.

4069680 = 3412 + 3422 + ... + 3722.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4069687) 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, 7167 + ... + 7713.

Almost surely, 24069680 is an apocalyptic number.

4069680 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 4069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523392).

4069680 is an abundant number, since it is smaller than the sum of its proper divisors (8977104).

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

4069680 is a wasteful number, since it uses less digits than its factorization.

4069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4069680 is about 2017.3447895687. The cubic root of 4069680 is about 159.6565549786.

The spelling of 4069680 in words is "four million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 547 620 744 930 1094 1240 1488 1641 1860 2188 2480 2735 3282 3720 4376 5470 6564 7440 8205 8752 10940 13128 16410 16957 21880 26256 32820 33914 43760 50871 65640 67828 84785 101742 131280 135656 169570 203484 254355 271312 339140 406968 508710 678280 813936 1017420 1356560 2034840 4069680