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1040170040 = 235721340823
BaseRepresentation
bin111101111111111…
…011110000111000
32200111021010001022
4331333323300320
54112240420130
6251114242012
734530204500
oct7577736070
92614233038
101040170040
11494170168
12250426308
13137663240
149c206a00
15614b87e5
hex3dffbc38

1040170040 has 96 divisors (see below), whose sum is σ = 2931979680. Its totient is φ = 329188608.

The previous prime is 1040170031. The next prime is 1040170081. The reversal of 1040170040 is 400710401.

It is a super-2 number, since 2×10401700402 = 2163907424227203200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5069 + ... + 45891.

It is an arithmetic number, because the mean of its divisors is an integer number (30541455).

Almost surely, 21040170040 is an apocalyptic number.

1040170040 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 1040170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465989840).

1040170040 is an abundant number, since it is smaller than the sum of its proper divisors (1891809640).

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

1040170040 is a wasteful number, since it uses less digits than its factorization.

1040170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40861 (or 40850 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1040170040 is about 32251.6672437256. The cubic root of 1040170040 is about 1013.2146179986.

Adding to 1040170040 its reverse (400710401), we get a palindrome (1440880441).

The spelling of 1040170040 in words is "one billion, forty million, one hundred seventy thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 40823 81646 163292 204115 285761 326584 408230 530699 571522 816460 1061398 1143044 1428805 1632920 2000327 2122796 2286088 2653495 2857610 3714893 4000654 4245592 5306990 5715220 7429786 8001308 10001635 10613980 11430440 14859572 16002616 18574465 20003270 21227960 26004251 29719144 37148930 40006540 52008502 74297860 80013080 104017004 130021255 148595720 208034008 260042510 520085020 1040170040