Search a number
-
+
1285308080 = 245723731367
BaseRepresentation
bin100110010011100…
…0011111010110000
310022120112102012222
41030213003322300
510113014324310
6331312340212
743564636610
oct11447037260
93276472188
101285308080
115aa582a91
122ba544668
13176392934
14c29b8a40
1577c8c055
hex4c9c3eb0

1285308080 has 160 divisors (see below), whose sum is σ = 3615197184. Its totient is φ = 415438848.

The previous prime is 1285308061. The next prime is 1285308083. The reversal of 1285308080 is 808035821.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1285308080.

It is not an unprimeable number, because it can be changed into a prime (1285308083) 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, 939557 + ... + 940923.

Almost surely, 21285308080 is an apocalyptic number.

1285308080 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 1285308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807598592).

1285308080 is an abundant number, since it is smaller than the sum of its proper divisors (2329889104).

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

1285308080 is a wasteful number, since it uses less digits than its factorization.

1285308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1285308080 is about 35851.1935645105. The cubic root of 1285308080 is about 1087.2658460947.

The spelling of 1285308080 in words is "one billion, two hundred eighty-five million, three hundred eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 73 80 92 112 115 140 146 161 184 230 280 292 322 365 368 460 511 560 584 644 730 805 920 1022 1168 1288 1367 1460 1610 1679 1840 2044 2555 2576 2734 2920 3220 3358 4088 5110 5468 5840 6440 6716 6835 8176 8395 9569 10220 10936 11753 12880 13432 13670 16790 19138 20440 21872 23506 26864 27340 31441 33580 38276 40880 47012 47845 54680 58765 62882 67160 76552 94024 95690 99791 109360 117530 125764 134320 153104 157205 188048 191380 199582 220087 235060 251528 314410 382760 399164 440174 470120 498955 503056 628820 698537 765520 798328 880348 940240 997910 1100435 1257640 1397074 1596656 1760696 1995820 2200870 2295193 2515280 2794148 3492685 3521392 3991640 4401740 4590386 5588296 6985370 7983280 8803480 9180772 11176592 11475965 13970740 16066351 17606960 18361544 22951930 27941480 32132702 36723088 45903860 55882960 64265404 80331755 91807720 128530808 160663510 183615440 257061616 321327020 642654040 1285308080