Search a number
-
+
1013027160 = 2335531491069
BaseRepresentation
bin111100011000011…
…001000101011000
32121121012010000110
4330120121011120
54033313332120
6244304404320
734050405645
oct7430310530
92547163013
101013027160
1147a911332
122433166a0
13131b4b872
149877cdcc
155de062e0
hex3c619158

1013027160 has 128 divisors (see below), whose sum is σ = 3120120000. Its totient is φ = 263018496.

The previous prime is 1013027131. The next prime is 1013027179. The reversal of 1013027160 is 617203101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947106 + ... + 948174.

Almost surely, 21013027160 is an apocalyptic number.

1013027160 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 1013027160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560060000).

1013027160 is an abundant number, since it is smaller than the sum of its proper divisors (2107092840).

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

1013027160 is a wasteful number, since it uses less digits than its factorization.

1013027160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1013027160 is about 31828.0875957070. The cubic root of 1013027160 is about 1004.3236656398.

The spelling of 1013027160 in words is "one billion, thirteen million, twenty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 149 159 212 265 298 318 424 447 530 596 636 745 795 894 1060 1069 1192 1272 1490 1590 1788 2120 2138 2235 2980 3180 3207 3576 4276 4470 5345 5960 6360 6414 7897 8552 8940 10690 12828 15794 16035 17880 21380 23691 25656 31588 32070 39485 42760 47382 56657 63176 64140 78970 94764 113314 118455 128280 157940 159281 169971 189528 226628 236910 283285 315880 318562 339942 453256 473820 477843 566570 637124 679884 796405 849855 947640 955686 1133140 1274248 1359768 1592810 1699710 1911372 2266280 2389215 3185620 3399420 3822744 4778430 6371240 6798840 8441893 9556860 16883786 19113720 25325679 33767572 42209465 50651358 67535144 84418930 101302716 126628395 168837860 202605432 253256790 337675720 506513580 1013027160