Search a number
-
+
1041904320 = 26351085317
BaseRepresentation
bin111110000110100…
…011001011000000
32200121112020000220
4332012203023000
54113211414240
6251215343040
734551016632
oct7606431300
92617466026
101041904320
11495145156
12250b21a80
13137b1c742
149c538a52
156170c5d0
hex3e1a32c0

1041904320 has 56 divisors (see below), whose sum is σ = 3308049264. Its totient is φ = 277840896.

The previous prime is 1041904307. The next prime is 1041904321. The reversal of 1041904320 is 234091401.

1041904320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10419043202 = 2171129224069324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1041904321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541699 + ... + 543618.

Almost surely, 21041904320 is an apocalyptic number.

1041904320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041904320 is an abundant number, since it is smaller than the sum of its proper divisors (2266144944).

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

1041904320 is a wasteful number, since it uses less digits than its factorization.

1041904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085337 (or 1085327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1041904320 is about 32278.5427180348. The cubic root of 1041904320 is about 1013.7774176978. Note that the first 3 decimals are identical.

Adding to 1041904320 its reverse (234091401), we get a palindrome (1275995721).

The spelling of 1041904320 in words is "one billion, forty-one million, nine hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1085317 2170634 3255951 4341268 5426585 6511902 8682536 10853170 13023804 16279755 17365072 21706340 26047608 32559510 34730144 43412680 52095216 65119020 69460288 86825360 104190432 130238040 173650720 208380864 260476080 347301440 520952160 1041904320