Search a number
-
+
1200707532040 = 2353710310773613
BaseRepresentation
bin10001011110001111101…
…111101111010100001000
311020210020101001110110211
4101132033233233110020
5124133022112011130
62315333013250504
7152514436424452
oct21361757572410
94223211043424
101200707532040
11423243110415
12174856633a34
13892c3063513
14421864a32d2
1521376d99a2a
hex1178fbef508

1200707532040 has 128 divisors (see below), whose sum is σ = 2827766972160. Its totient is φ = 458434335744.

The previous prime is 1200707532019. The next prime is 1200707532043. The reversal of 1200707532040 is 402357070021.

It is a junction number, because it is equal to n+sod(n) for n = 1200707531993 and 1200707532011.

It is not an unprimeable number, because it can be changed into a prime (1200707532043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16274274 + ... + 16347886.

It is an arithmetic number, because the mean of its divisors is an integer number (22091929470).

Almost surely, 21200707532040 is an apocalyptic number.

1200707532040 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 1200707532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413883486080).

1200707532040 is an abundant number, since it is smaller than the sum of its proper divisors (1627059440120).

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

1200707532040 is a wasteful number, since it uses less digits than its factorization.

1200707532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73871 (or 73867 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The spelling of 1200707532040 in words is "one trillion, two hundred billion, seven hundred seven million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 103 107 148 185 206 214 296 370 412 428 515 535 740 824 856 1030 1070 1480 2060 2140 3811 3959 4120 4280 7622 7918 11021 15244 15836 19055 19795 22042 30488 31672 38110 39590 44084 55105 73613 76220 79180 88168 110210 147226 152440 158360 220420 294452 368065 407777 440840 588904 736130 815554 1472260 1631108 2038885 2723681 2944520 3262216 4077770 5447362 7582139 7876591 8155540 10894724 13618405 15164278 15753182 16311080 21789448 27236810 30328556 31506364 37910695 39382955 54473620 60657112 63012728 75821390 78765910 108947240 151642780 157531820 280539143 291433867 303285560 315063640 561078286 582867734 811288873 1122156572 1165735468 1402695715 1457169335 1622577746 2244313144 2331470936 2805391430 2914338670 3245155492 4056444365 5610782860 5828677340 6490310984 8112888730 11221565720 11657354680 16225777460 30017688301 32451554920 60035376602 120070753204 150088441505 240141506408 300176883010 600353766020 1200707532040