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1020140514 = 233192431217
BaseRepresentation
bin111100110011100…
…001101111100010
32122002120111201000
4330303201233202
54042123444024
6245121052430
734165023411
oct7463415742
92562514630
101020140514
1148392a738
12245787116
1313346c553
14996b1478
155e85dcc9
hex3cce1be2

1020140514 has 96 divisors (see below), whose sum is σ = 2450226240. Its totient is φ = 314399232.

The previous prime is 1020140507. The next prime is 1020140519. The reversal of 1020140514 is 4150410201.

1020140514 is a `hidden beast` number, since 10 + 2 + 0 + 140 + 514 = 666.

It is a super-3 number, since 3×10201405143 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020140519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837634 + ... + 838850.

It is an arithmetic number, because the mean of its divisors is an integer number (25523190).

Almost surely, 21020140514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020140514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225113120).

1020140514 is an abundant number, since it is smaller than the sum of its proper divisors (1430085726).

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

1020140514 is a wasteful number, since it uses less digits than its factorization.

1020140514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020140514 is about 31939.6386015872. The cubic root of 1020140514 is about 1006.6689311578.

Adding to 1020140514 its reverse (4150410201), we get a palindrome (5170550715).

The spelling of 1020140514 in words is "one billion, twenty million, one hundred forty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 258 342 361 387 513 722 774 817 1026 1083 1161 1217 1634 2166 2322 2434 2451 3249 3651 4902 6498 7302 7353 9747 10953 14706 15523 19494 21906 22059 23123 31046 32859 44118 46246 46569 52331 65718 69369 93138 104662 138738 139707 156993 208107 279414 313986 416214 419121 439337 470979 624321 838242 878674 941958 994289 1248642 1318011 1412937 1988578 2636022 2825874 2982867 3954033 5965734 7908066 8948601 11862099 17897202 18891491 23724198 26845803 37782982 53691606 56674473 113348946 170023419 340046838 510070257 1020140514