Search a number
-
+
1040433120 = 25335240841
BaseRepresentation
bin111110000000111…
…011111111100000
32200111202110221000
4332000323333200
54112322324440
6251124032000
734532351466
oct7600737740
92614673830
101040433120
1149432a891
12250532600
13137725bcc
149c274836
156151b730
hex3e03bfe0

1040433120 has 96 divisors (see below), whose sum is σ = 3641531040. Its totient is φ = 277447680.

The previous prime is 1040433109. The next prime is 1040433139. The reversal of 1040433120 is 213340401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040433093 and 1040433102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116101 + ... + 124740.

It is an arithmetic number, because the mean of its divisors is an integer number (37932615).

Almost surely, 21040433120 is an apocalyptic number.

1040433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040433120 is an abundant number, since it is smaller than the sum of its proper divisors (2601097920).

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

1040433120 is a wasteful number, since it uses less digits than its factorization.

1040433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240865 (or 240851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1040433120 is about 32255.7455347106. The cubic root of 1040433120 is about 1013.3000316080.

Adding to 1040433120 its reverse (213340401), we get a palindrome (1253773521).

The spelling of 1040433120 in words is "one billion, forty million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 240841 481682 722523 963364 1204205 1445046 1926728 2167569 2408410 2890092 3612615 3853456 4335138 4816820 5780184 6502707 7225230 7706912 8670276 9633640 10837845 11560368 13005414 14450460 17340552 19267280 21675690 23120736 26010828 28900920 32513535 34681104 38534560 43351380 52021656 57801840 65027070 69362208 86702760 104043312 115603680 130054140 173405520 208086624 260108280 346811040 520216560 1040433120