Search a number
-
+
1330987980 = 2235721074231
BaseRepresentation
bin100111101010101…
…0100001111001100
310102202111012021010
41033111110033030
510211213103410
6340023405220
744661132300
oct11725241714
93382435233
101330987980
11623342a73
123118b3810
1318299786a
14c8aa9d00
157bcb1c20
hex4f5543cc

1330987980 has 144 divisors (see below), whose sum is σ = 4376768256. Its totient is φ = 301311360.

The previous prime is 1330987949. The next prime is 1330988003. The reversal of 1330987980 is 897890331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312465 + ... + 316695.

It is an arithmetic number, because the mean of its divisors is an integer number (30394224).

Almost surely, 21330987980 is an apocalyptic number.

1330987980 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 1330987980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188384128).

1330987980 is an abundant number, since it is smaller than the sum of its proper divisors (3045780276).

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

1330987980 is a wasteful number, since it uses less digits than its factorization.

1330987980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1330987980 is about 36482.7079587028. The cubic root of 1330987980 is about 1099.9966886953.

The spelling of 1330987980 in words is "one billion, three hundred thirty million, nine hundred eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 107 140 147 196 210 214 245 294 321 420 428 490 535 588 642 735 749 980 1070 1284 1470 1498 1605 2140 2247 2940 2996 3210 3745 4231 4494 5243 6420 7490 8462 8988 10486 11235 12693 14980 15729 16924 20972 21155 22470 25386 26215 29617 31458 42310 44940 50772 52430 59234 62916 63465 78645 84620 88851 104860 118468 126930 148085 157290 177702 207319 253860 296170 314580 355404 414638 444255 452717 592340 621957 829276 888510 905434 1036595 1243914 1358151 1777020 1810868 2073190 2263585 2487828 2716302 3109785 3169019 4146380 4527170 5432604 6219570 6338038 6790755 9054340 9507057 12439140 12676076 13581510 15845095 19014114 22183133 27163020 31690190 38028228 44366266 47535285 63380380 66549399 88732532 95070570 110915665 133098798 190141140 221831330 266197596 332746995 443662660 665493990 1330987980