Search a number
-
+
904054240 = 255311131613
BaseRepresentation
bin110101111000101…
…100010111100000
32100000010201021101
4311320230113200
53322414213430
6225413004144
731255222435
oct6570542740
92300121241
10904054240
11424351371
12212923654
131153b5b4b
14880d3b8c
155457cdca
hex35e2c5e0

904054240 has 96 divisors (see below), whose sum is σ = 2225615616. Its totient is φ = 346644480.

The previous prime is 904054201. The next prime is 904054247. The reversal of 904054240 is 42450409.

904054240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 904054199 and 904054208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904054247) 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, 559674 + ... + 561286.

It is an arithmetic number, because the mean of its divisors is an integer number (23183496).

Almost surely, 2904054240 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 904054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112807808).

904054240 is an abundant number, since it is smaller than the sum of its proper divisors (1321561376).

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

904054240 is a wasteful number, since it uses less digits than its factorization.

904054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 904054240 is about 30067.4947409990. The cubic root of 904054240 is about 966.9369633881.

The spelling of 904054240 in words is "nine hundred four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 113 124 155 160 226 248 310 452 496 565 620 904 992 1130 1240 1613 1808 2260 2480 3226 3503 3616 4520 4960 6452 7006 8065 9040 12904 14012 16130 17515 18080 25808 28024 32260 35030 50003 51616 56048 64520 70060 100006 112096 129040 140120 182269 200012 250015 258080 280240 364538 400024 500030 560480 729076 800048 911345 1000060 1458152 1600096 1822690 2000120 2916304 3645380 4000240 5650339 5832608 7290760 8000480 11300678 14581520 22601356 28251695 29163040 45202712 56503390 90405424 113006780 180810848 226013560 452027120 904054240