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1014130320 = 243571931771
BaseRepresentation
bin111100011100100…
…110011010010000
32121200021011021020
4330130212122100
54034104132240
6244344155440
734062652110
oct7434463220
92550234236
101014130320
114804a5135
12243768b80
13132146a18
1498989040
155e0730d0
hex3c726690

1014130320 has 160 divisors (see below), whose sum is σ = 3782138880. Its totient is φ = 219594240.

The previous prime is 1014130309. The next prime is 1014130321. The reversal of 1014130320 is 230314101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1014130320.

It is not an unprimeable number, because it can be changed into a prime (1014130321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16035 + ... + 47805.

It is an arithmetic number, because the mean of its divisors is an integer number (23638368).

Almost surely, 21014130320 is an apocalyptic number.

1014130320 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 1014130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891069440).

1014130320 is an abundant number, since it is smaller than the sum of its proper divisors (2768008560).

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

1014130320 is a wasteful number, since it uses less digits than its factorization.

1014130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31813 (or 31807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1014130320 is about 31845.4128564853. The cubic root of 1014130320 is about 1004.6880940951.

Adding to 1014130320 its reverse (230314101), we get a palindrome (1244444421).

The spelling of 1014130320 in words is "one billion, fourteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31771 31920 63542 95313 127084 158855 190626 222397 254168 317710 381252 444794 476565 508336 603649 635420 667191 762504 889588 953130 1111985 1207298 1270840 1334382 1525008 1779176 1810947 1906260 2223970 2414596 2541680 2668764 3018245 3335955 3558352 3621894 3812520 4225543 4447940 4829192 5337528 6036490 6671910 7243788 7625040 8451086 8895880 9054735 9658384 10675056 12072980 12676629 13343820 14487576 16902172 17791760 18109470 21127715 24145960 25353258 26687640 28975152 33804344 36218940 42255430 48291920 50706516 53375280 63383145 67608688 72437880 84510860 101413032 126766290 144875760 169021720 202826064 253532580 338043440 507065160 1014130320