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1020134320 = 24519671141
BaseRepresentation
bin111100110011100…
…000001110110000
32122002120012012121
4330303200032300
54042123244240
6245121004024
734164666352
oct7463401660
92562505177
101020134320
11483926017
12245783614
1313346979a
14996ad0d2
155e85c04a
hex3cce03b0

1020134320 has 40 divisors (see below), whose sum is σ = 2496648240. Its totient is φ = 386576640.

The previous prime is 1020134299. The next prime is 1020134327. The reversal of 1020134320 is 234310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020134294 and 1020134303.

It is not an unprimeable number, because it can be changed into a prime (1020134327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334051 + ... + 337090.

It is an arithmetic number, because the mean of its divisors is an integer number (62416206).

Almost surely, 21020134320 is an apocalyptic number.

1020134320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020134320 is an abundant number, since it is smaller than the sum of its proper divisors (1476513920).

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

1020134320 is a wasteful number, since it uses less digits than its factorization.

1020134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671173 (or 671167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1020134320 is about 31939.5416372872. The cubic root of 1020134320 is about 1006.6668937522. Note that the first 3 decimals are identical.

Adding to 1020134320 its reverse (234310201), we get a palindrome (1254444521).

It can be divided in two parts, 10201 and 34320, that added together give a square (44521 = 2112).

The spelling of 1020134320 in words is "one billion, twenty million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 671141 1342282 2684564 3355705 5369128 6711410 10738256 12751679 13422820 25503358 26845640 51006716 53691280 63758395 102013432 127516790 204026864 255033580 510067160 1020134320