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1016398160 = 24519797839
BaseRepresentation
bin111100100101010…
…000000101010000
32121211112101011022
4330211100011100
54040144220120
6244504535012
734121145641
oct7445200520
92554471138
101016398160
11481803a88
12244481468
1313275c03b
1498db96c8
155e370025
hex3c950150

1016398160 has 80 divisors (see below), whose sum is σ = 2493590400. Its totient is φ = 384219648.

The previous prime is 1016398153. The next prime is 1016398169. The reversal of 1016398160 is 618936101.

It is a Cunningham number, because it is equal to 318812-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1016398160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016398169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211021 + ... + 1211859.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 21016398160 is an apocalyptic number.

1016398160 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 1016398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

1016398160 is an abundant number, since it is smaller than the sum of its proper divisors (1477192240).

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

1016398160 is a wasteful number, since it uses less digits than its factorization.

1016398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1016398160 is about 31880.9999843167. Note that the first 4 decimals coincide. The cubic root of 1016398160 is about 1005.4364448429.

The spelling of 1016398160 in words is "one billion, sixteen million, three hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 797 839 1520 1594 1678 3188 3356 3985 4195 6376 6712 7970 8390 12752 13424 15143 15940 15941 16780 30286 31880 31882 33560 60572 63760 63764 67120 75715 79705 121144 127528 151430 159410 242288 255056 302860 318820 605720 637640 668683 1211440 1275280 1337366 2674732 3343415 5349464 6686830 10698928 12704977 13373660 25409954 26747320 50819908 53494640 63524885 101639816 127049770 203279632 254099540 508199080 1016398160