Search a number
-
+
906974040 = 233574722973
BaseRepresentation
bin110110000011110…
…101001101011000
32100012122001111010
4312003311031120
53324141132130
6225555333520
731322103120
oct6603651530
92305561433
10906974040
11425a66025
122138b12a0
13115b98b3b
1488653c80
15549580b0
hex360f5358

906974040 has 128 divisors (see below), whose sum is σ = 3175925760. Its totient is φ = 202888704.

The previous prime is 906974039. The next prime is 906974069. The reversal of 906974040 is 40479609.

906974040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 906974040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27994 + ... + 50966.

It is an arithmetic number, because the mean of its divisors is an integer number (24811920).

Almost surely, 2906974040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587962880).

906974040 is an abundant number, since it is smaller than the sum of its proper divisors (2268951720).

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

906974040 is a wasteful number, since it uses less digits than its factorization.

906974040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 906974040 is about 30116.0096958412. The cubic root of 906974040 is about 967.9768082917.

The spelling of 906974040 in words is "nine hundred six million, nine hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 22973 39480 45946 68919 91892 114865 137838 160811 183784 229730 275676 321622 344595 459460 482433 551352 643244 689190 804055 918920 964866 1079731 1286488 1378380 1608110 1929732 2159462 2412165 2756760 3216220 3239193 3859464 4318924 4824330 5398655 6432440 6478386 7558117 8637848 9648660 10797310 12956772 15116234 16195965 19297320 21594620 22674351 25913544 30232468 32391930 37790585 43189240 45348702 60464936 64783860 75581170 90697404 113371755 129567720 151162340 181394808 226743510 302324680 453487020 906974040