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1201050040 = 2351967103229
BaseRepresentation
bin100011110010110…
…1001000110111000
310002200222122220211
41013211221012320
54424432100130
6315102400504
741522520421
oct10745510670
93080878824
101201050040
11566a63743
12296290134
13161aa13c8
14b5724648
1570696a2a
hex479691b8

1201050040 has 128 divisors (see below), whose sum is σ = 2927808000. Its totient is φ = 442050048.

The previous prime is 1201050031. The next prime is 1201050061. The reversal of 1201050040 is 400501021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201050040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5244646 + ... + 5244874.

It is an arithmetic number, because the mean of its divisors is an integer number (22873500).

Almost surely, 21201050040 is an apocalyptic number.

1201050040 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 1201050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463904000).

1201050040 is an abundant number, since it is smaller than the sum of its proper divisors (1726757960).

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

1201050040 is a wasteful number, since it uses less digits than its factorization.

1201050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1201050040 is about 34656.1688592377. The cubic root of 1201050040 is about 1062.9684327099.

Adding to 1201050040 its reverse (400501021), we get a palindrome (1601551061).

The spelling of 1201050040 in words is "one billion, two hundred one million, fifty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 103 134 152 190 206 229 268 335 380 412 458 515 536 670 760 824 916 1030 1145 1273 1340 1832 1957 2060 2290 2546 2680 3914 4120 4351 4580 5092 6365 6901 7828 8702 9160 9785 10184 12730 13802 15343 15656 17404 19570 21755 23587 25460 27604 30686 34505 34808 39140 43510 47174 50920 55208 61372 69010 76715 78280 87020 94348 117935 122744 131119 138020 153430 174040 188696 235870 262238 276040 291517 306860 448153 471740 524476 583034 613720 655595 896306 943480 1048952 1166068 1311190 1457585 1580329 1792612 2240765 2332136 2622380 2915170 3160658 3585224 4481530 5244760 5830340 6321316 7901645 8963060 11660680 12642632 15803290 17926120 30026251 31606580 60052502 63213160 120105004 150131255 240210008 300262510 600525020 1201050040