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1020160050 = 235271325749
BaseRepresentation
bin111100110011100…
…110100000110010
32122002121111111120
4330303212200302
54042130110200
6245121323110
734165134360
oct7463464062
92562544446
101020160050
11483943388
12245796496
13133478400
14996b8630
155e8649a0
hex3cce6832

1020160050 has 144 divisors (see below), whose sum is σ = 3131496000. Its totient is φ = 215205120.

The previous prime is 1020160049. The next prime is 1020160093. The reversal of 1020160050 is 500610201.

1020160050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174576 + ... + 180324.

It is an arithmetic number, because the mean of its divisors is an integer number (21746500).

Almost surely, 21020160050 is an apocalyptic number.

1020160050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020160050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565748000).

1020160050 is an abundant number, since it is smaller than the sum of its proper divisors (2111335950).

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

1020160050 is a wasteful number, since it uses less digits than its factorization.

1020160050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1020160050 is about 31939.9444270024. The cubic root of 1020160050 is about 1006.6753571218.

Adding to 1020160050 its reverse (500610201), we get a palindrome (1520770251).

The spelling of 1020160050 in words is "one billion, twenty million, one hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 169 175 182 195 210 273 325 338 350 390 455 507 525 546 650 845 910 975 1014 1050 1183 1365 1690 1950 2275 2366 2535 2730 3549 4225 4550 5070 5749 5915 6825 7098 8450 11498 11830 12675 13650 17247 17745 25350 28745 29575 34494 35490 40243 57490 59150 74737 80486 86235 88725 120729 143725 149474 172470 177450 201215 224211 241458 287450 373685 402430 431175 448422 523159 603645 747370 862350 971581 1006075 1046318 1121055 1207290 1569477 1868425 1943162 2012150 2242110 2615795 2914743 3018225 3138954 3736850 4857905 5231590 5605275 5829486 6036450 6801067 7847385 9715810 11210550 13078975 13602134 14573715 15694770 20403201 24289525 26157950 29147430 34005335 39236925 40806402 48579050 68010670 72868575 78473850 102016005 145737150 170026675 204032010 340053350 510080025 1020160050