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1001430240 = 25356731139
BaseRepresentation
bin111011101100001…
…001110011100000
32120210100221000220
4323230021303200
54022331231430
6243212043040
733550005456
oct7354116340
92523327026
101001430240
114743103a8
1223b463480
1312c61b195
14970009d6
155cdb5110
hex3bb09ce0

1001430240 has 96 divisors (see below), whose sum is σ = 3201690240. Its totient is φ = 263053824.

The previous prime is 1001430223. The next prime is 1001430247. The reversal of 1001430240 is 420341001.

1001430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001430247) 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, 16591 + ... + 47729.

It is an arithmetic number, because the mean of its divisors is an integer number (33350940).

Almost surely, 21001430240 is an apocalyptic number.

1001430240 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 1001430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600845120).

1001430240 is an abundant number, since it is smaller than the sum of its proper divisors (2200260000).

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

1001430240 is a wasteful number, since it uses less digits than its factorization.

1001430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31224 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1001430240 is about 31645.3826015740. The cubic root of 1001430240 is about 1000.4765195597.

Adding to 1001430240 its reverse (420341001), we get a palindrome (1421771241).

The spelling of 1001430240 in words is "one billion, one million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 31139 32160 62278 93417 124556 155695 186834 249112 311390 373668 467085 498224 622780 747336 934170 996448 1245560 1494672 1868340 2086313 2491120 2989344 3736680 4172626 4982240 6258939 7473360 8345252 10431565 12517878 14946720 16690504 20863130 25035756 31294695 33381008 41726260 50071512 62589390 66762016 83452520 100143024 125178780 166905040 200286048 250357560 333810080 500715120 1001430240