Search a number
-
+
1491712040 = 2357131921569
BaseRepresentation
bin101100011101001…
…1011100000101000
310211221220211020002
41120322123200220
511023334241130
6404004322132
751652225460
oct13072334050
93757824202
101491712040
116a603a375
123576a3348
131aa07ca60
14102186ba0
158ae5db45
hex58e9b828

1491712040 has 128 divisors (see below), whose sum is σ = 4348512000. Its totient is φ = 447234048.

The previous prime is 1491712037. The next prime is 1491712069. The reversal of 1491712040 is 402171941.

It is a junction number, because it is equal to n+sod(n) for n = 1491711994 and 1491712012.

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, 58376 + ... + 79944.

It is an arithmetic number, because the mean of its divisors is an integer number (33972750).

Almost surely, 21491712040 is an apocalyptic number.

1491712040 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 1491712040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174256000).

1491712040 is an abundant number, since it is smaller than the sum of its proper divisors (2856799960).

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

1491712040 is a wasteful number, since it uses less digits than its factorization.

1491712040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21619 (or 21615 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1491712040 is about 38622.6881508784. The cubic root of 1491712040 is about 1142.6020485117.

Adding to 1491712040 its reverse (402171941), we get a palindrome (1893883981).

The spelling of 1491712040 in words is "one billion, four hundred ninety-one million, seven hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 21569 34580 43138 69160 86276 107845 150983 172552 215690 280397 301966 409811 431380 560794 603932 754915 819622 862760 1121588 1207864 1401985 1509830 1639244 1962779 2049055 2243176 2803970 2868677 3019660 3278488 3925558 4098110 5327543 5607940 5737354 6039320 7851116 8196220 9813895 10655086 11215880 11474708 14343385 15702232 16392440 19627790 21310172 22949416 26637715 28686770 37292801 39255580 42620344 53275430 57373540 74585602 78511160 106550860 114747080 149171204 186464005 213101720 298342408 372928010 745856020 1491712040