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1031412440 = 235174573319
BaseRepresentation
bin111101011110100…
…001101011011000
32122212210011212202
4331132201223120
54103020144230
6250202425332
734362601232
oct7536415330
92585704782
101031412440
1148a229483
12249502248
131358b8026
149ada7252
1560838a45
hex3d7a1ad8

1031412440 has 64 divisors (see below), whose sum is σ = 2463307200. Its totient is φ = 387330048.

The previous prime is 1031412413. The next prime is 1031412533. The reversal of 1031412440 is 442141301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 309101 + ... + 312419.

It is an arithmetic number, because the mean of its divisors is an integer number (38489175).

Almost surely, 21031412440 is an apocalyptic number.

1031412440 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 1031412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231653600).

1031412440 is an abundant number, since it is smaller than the sum of its proper divisors (1431894760).

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

1031412440 is a wasteful number, since it uses less digits than its factorization.

1031412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1031412440 is about 32115.6105344426. The cubic root of 1031412440 is about 1010.3630495648.

Adding to 1031412440 its reverse (442141301), we get a palindrome (1473553741).

The spelling of 1031412440 in words is "one billion, thirty-one million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 457 680 914 1828 2285 3319 3656 4570 6638 7769 9140 13276 15538 16595 18280 26552 31076 33190 38845 56423 62152 66380 77690 112846 132760 155380 225692 282115 310760 451384 564230 1128460 1516783 2256920 3033566 6067132 7583915 12134264 15167830 25785311 30335660 51570622 60671320 103141244 128926555 206282488 257853110 515706220 1031412440