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1040332040 = 23511791732
BaseRepresentation
bin111110000000100…
…011010100001000
32200111120100021022
4332000203110020
54112311111130
6251121532012
734531451006
oct7600432410
92614510238
101040332040
11494270950
122504a4008
131376bbbb7
149c249a76
15614eb7e5
hex3e023508

1040332040 has 96 divisors (see below), whose sum is σ = 2600899200. Its totient is φ = 371354880.

The previous prime is 1040332039. The next prime is 1040332121. The reversal of 1040332040 is 402330401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6013394 + ... + 6013566.

It is an arithmetic number, because the mean of its divisors is an integer number (27092700).

Almost surely, 21040332040 is an apocalyptic number.

1040332040 is a gapful number since it is divisible by the number (10) 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 1040332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300449600).

1040332040 is an abundant number, since it is smaller than the sum of its proper divisors (1560567160).

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

1040332040 is a wasteful number, since it uses less digits than its factorization.

1040332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1040332040 is about 32254.1786440145. The cubic root of 1040332040 is about 1013.2672158885.

Adding to 1040332040 its reverse (402330401), we get a palindrome (1442662441).

The spelling of 1040332040 in words is "one billion, forty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 173 220 316 346 395 440 632 692 790 865 869 1384 1580 1730 1738 1903 3160 3460 3476 3806 4345 6920 6952 7612 8690 9515 13667 15224 17380 19030 27334 29929 34760 38060 54668 59858 68335 76120 109336 119716 136670 149645 150337 239432 273340 299290 300674 329219 546680 598580 601348 658438 751685 1197160 1202696 1316876 1503370 1646095 2364391 2633752 3006740 3292190 4728782 6013480 6584380 9457564 11821955 13168760 18915128 23643910 26008301 47287820 52016602 94575640 104033204 130041505 208066408 260083010 520166020 1040332040