Search a number
-
+
2031414320 = 2451317891291
BaseRepresentation
bin111100100010100…
…1110110000110000
312020120110112120102
41321011032300300
513130020224240
6533324131532
7101224510505
oct17105166060
95216415512
102031414320
11952753711
12488396ba8
13264b26010
14153b154ac
15bd51a815
hex7914ec30

2031414320 has 160 divisors (see below), whose sum is σ = 5450276160. Its totient is φ = 697466880.

The previous prime is 2031414311. The next prime is 2031414353. The reversal of 2031414320 is 234141302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2031414292 and 2031414301.

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, 1572875 + ... + 1574165.

It is an arithmetic number, because the mean of its divisors is an integer number (34064226).

Almost surely, 22031414320 is an apocalyptic number.

2031414320 is a gapful number since it is divisible by the number (20) 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 2031414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

2031414320 is an abundant number, since it is smaller than the sum of its proper divisors (3418861840).

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

2031414320 is a wasteful number, since it uses less digits than its factorization.

2031414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2031414320 is about 45071.2138731586. The cubic root of 2031414320 is about 1266.4834040807.

Adding to 2031414320 its reverse (234141302), we get a palindrome (2265555622).

The spelling of 2031414320 in words is "two billion, thirty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 89 104 130 136 170 178 208 221 260 272 340 356 442 445 520 680 712 884 890 1040 1105 1157 1291 1360 1424 1513 1768 1780 2210 2314 2582 3026 3536 3560 4420 4628 5164 5785 6052 6455 7120 7565 8840 9256 10328 11570 12104 12910 15130 16783 17680 18512 19669 20656 21947 23140 24208 25820 30260 33566 39338 43894 46280 51640 60520 67132 78676 83915 87788 92560 98345 103280 109735 114899 121040 134264 157352 167830 175576 196690 219470 229798 268528 285311 314704 335660 351152 393380 438940 459596 570622 574495 671320 786760 877880 919192 1141244 1148990 1342640 1426555 1493687 1573520 1755760 1838384 1953283 2282488 2297980 2853110 2987374 3906566 4564976 4595960 5706220 5974748 7468435 7813132 9191920 9766415 11412440 11949496 14936870 15626264 19532830 22824880 23898992 25392679 29873740 31252528 39065660 50785358 59747480 78131320 101570716 119494960 126963395 156262640 203141432 253926790 406282864 507853580 1015707160 2031414320