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1010936040 = 2335193114303
BaseRepresentation
bin111100010000011…
…010100011101000
32121110020212112120
4330100122203220
54032244423130
6244151511240
734023546252
oct7420324350
92543225476
101010936040
11479713234
12242688520
13131598b0a
1498396cd2
155db41910
hex3c41a8e8

1010936040 has 128 divisors (see below), whose sum is σ = 3295641600. Its totient is φ = 247138560.

The previous prime is 1010936033. The next prime is 1010936077. The reversal of 1010936040 is 406390101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1010936040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63529 + ... + 77831.

It is an arithmetic number, because the mean of its divisors is an integer number (25747200).

Almost surely, 21010936040 is an apocalyptic number.

1010936040 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 1010936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647820800).

1010936040 is an abundant number, since it is smaller than the sum of its proper divisors (2284705560).

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

1010936040 is a wasteful number, since it uses less digits than its factorization.

1010936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1010936040 is about 31795.2203955249. The cubic root of 1010936040 is about 1003.6321382660.

The spelling of 1010936040 in words is "one billion, ten million, nine hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 14303 17670 23560 28606 35340 42909 57212 70680 71515 85818 114424 143030 171636 214545 271757 286060 343272 429090 443393 543514 572120 815271 858180 886786 1087028 1330179 1358785 1630542 1716360 1773572 2174056 2216965 2660358 2717570 3261084 3547144 4076355 4433930 5320716 5435140 6522168 6650895 8152710 8424467 8867860 10641432 10870280 13301790 16305420 16848934 17735720 25273401 26603580 32610840 33697868 42122335 50546802 53207160 67395736 84244670 101093604 126367005 168489340 202187208 252734010 336978680 505468020 1010936040