Search a number
-
+
1035235040 = 25572931873
BaseRepresentation
bin111101101101000…
…110111011100000
32200010222101111112
4331231012323200
54110010010130
6250420402452
734440231650
oct7555067340
92603871445
101035235040
114913aa454
1224a846428
13136625c18
149b6c0360
1560d41495
hex3db46ee0

1035235040 has 96 divisors (see below), whose sum is σ = 2891609280. Its totient is φ = 342687744.

The previous prime is 1035235027. The next prime is 1035235051. The reversal of 1035235040 is 405325301.

It is a junction number, because it is equal to n+sod(n) for n = 1035234997 and 1035235015.

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, 16544 + ... + 48416.

It is an arithmetic number, because the mean of its divisors is an integer number (30120930).

Almost surely, 21035235040 is an apocalyptic number.

1035235040 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 1035235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445804640).

1035235040 is an abundant number, since it is smaller than the sum of its proper divisors (1856374240).

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

1035235040 is a wasteful number, since it uses less digits than its factorization.

1035235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31924 (or 31916 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1035235040 is about 32175.0686090955. The cubic root of 1035235040 is about 1011.6097064438.

The spelling of 1035235040 in words is "one billion, thirty-five million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 31873 32480 63746 127492 159365 223111 254984 318730 446222 509968 637460 892444 924317 1019936 1115555 1274920 1784888 1848634 2231110 2549840 3569776 3697268 4462220 4621585 5099680 6470219 7139552 7394536 8924440 9243170 12940438 14789072 17848880 18486340 25880876 29578144 32351095 35697760 36972680 51761752 64702190 73945360 103523504 129404380 147890720 207047008 258808760 517617520 1035235040