Search a number
-
+
4326607680 = 26359074969
BaseRepresentation
bin1000000011110001…
…01100101101000000
3102011112021102221220
410001320230231000
532330102421210
61553154115040
7212134362363
oct40170545500
912145242856
104326607680
11192029142a
12a08b7ba80
1353c4a73b5
142d08920da
151a4c8cc70
hex101e2cb40

4326607680 has 112 divisors (see below), whose sum is σ = 13754892480. Its totient is φ = 1152258048.

The previous prime is 4326607673. The next prime is 4326607693. The reversal of 4326607680 is 867066234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868236 + ... + 873204.

It is an arithmetic number, because the mean of its divisors is an integer number (122811540).

Almost surely, 24326607680 is an apocalyptic number.

4326607680 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 4326607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877446240).

4326607680 is an abundant number, since it is smaller than the sum of its proper divisors (9428284800).

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

4326607680 is a wasteful number, since it uses less digits than its factorization.

4326607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4326607680 is about 65776.9540188659. The cubic root of 4326607680 is about 1629.4805174595.

The spelling of 4326607680 in words is "four billion, three hundred twenty-six million, six hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 907 960 1814 2721 3628 4535 4969 5442 7256 9070 9938 10884 13605 14512 14907 18140 19876 21768 24845 27210 29024 29814 36280 39752 43536 49690 54420 58048 59628 72560 74535 79504 87072 99380 108840 119256 145120 149070 159008 174144 198760 217680 238512 290240 298140 318016 397520 435360 477024 596280 795040 870720 954048 1192560 1590080 2385120 4506883 4770240 9013766 13520649 18027532 22534415 27041298 36055064 45068830 54082596 67603245 72110128 90137660 108165192 135206490 144220256 180275320 216330384 270412980 288440512 360550640 432660768 540825960 721101280 865321536 1081651920 1442202560 2163303840 4326607680