Search a number
-
+
1016126020 = 225713267641
BaseRepresentation
bin111100100100001…
…101101001000100
32121211000112212001
4330210031221010
54040112013040
6244455035044
734115633350
oct7444155104
92554015761
101016126020
11481638578
1224436ba84
13132695200
1498d48460
155e31959a
hex3c90da44

1016126020 has 144 divisors (see below), whose sum is σ = 2684320128. Its totient is φ = 316293120.

The previous prime is 1016125951. The next prime is 1016126047. The reversal of 1016126020 is 206216101.

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 47 ways as a sum of consecutive naturals, for example, 1584900 + ... + 1585540.

It is an arithmetic number, because the mean of its divisors is an integer number (18641112).

Almost surely, 21016126020 is an apocalyptic number.

1016126020 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 1016126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342160064).

1016126020 is an abundant number, since it is smaller than the sum of its proper divisors (1668194108).

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

1016126020 is a wasteful number, since it uses less digits than its factorization.

1016126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1016126020 is about 31876.7316392380. The cubic root of 1016126020 is about 1005.3467018304.

The spelling of 1016126020 in words is "one billion, sixteen million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 67 70 91 130 134 140 169 182 260 268 335 338 364 455 469 641 670 676 845 871 910 938 1183 1282 1340 1690 1742 1820 1876 2345 2366 2564 3205 3380 3484 4355 4487 4690 4732 5915 6097 6410 8333 8710 8974 9380 11323 11830 12194 12820 16666 17420 17948 22435 22646 23660 24388 30485 33332 41665 42947 44870 45292 56615 58331 60970 79261 83330 85894 89740 108329 113230 116662 121940 158522 166660 171788 214735 216658 226460 233324 291655 300629 317044 396305 429470 433316 541645 558311 583310 601258 758303 792610 858940 1083290 1116622 1166620 1202516 1503145 1516606 1585220 2166580 2233244 2791555 3006290 3033212 3791515 3908177 5583110 6012580 7258043 7583030 7816354 11166220 14516086 15166060 15632708 19540885 29032172 36290215 39081770 50806301 72580430 78163540 101612602 145160860 203225204 254031505 508063010 1016126020