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1020108480 = 26351955927
BaseRepresentation
bin111100110011011…
…001111011000000
32122002111212202120
4330303121323000
54042121432410
6245120244240
734164531126
oct7463317300
92562455676
101020108480
11483908666
12245770680
1313345aab1
14996a3916
155e854570
hex3ccd9ec0

1020108480 has 112 divisors (see below), whose sum is σ = 3409370880. Its totient is φ = 257707008.

The previous prime is 1020108469. The next prime is 1020108487. The reversal of 1020108480 is 848010201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020108480.

It is not an unprimeable number, because it can be changed into a prime (1020108487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9724 + ... + 46203.

Almost surely, 21020108480 is an apocalyptic number.

1020108480 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 1020108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704685440).

1020108480 is an abundant number, since it is smaller than the sum of its proper divisors (2389262400).

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

1020108480 is a wasteful number, since it uses less digits than its factorization.

1020108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55966 (or 55956 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1020108480 is about 31939.1371204671. The cubic root of 1020108480 is about 1006.6583940570.

Adding to 1020108480 its reverse (848010201), we get a palindrome (1868118681).

The spelling of 1020108480 in words is "one billion, twenty million, one hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 55927 111854 167781 223708 279635 335562 447416 559270 671124 838905 894832 1062613 1118540 1342248 1677810 1789664 2125226 2237080 2684496 3187839 3355620 3579328 4250452 4474160 5313065 5368992 6375678 6711240 8500904 8948320 10626130 10737984 12751356 13422480 15939195 17001808 17896640 21252260 25502712 26844960 31878390 34003616 42504520 51005424 53689920 63756780 68007232 85009040 102010848 127513560 170018080 204021696 255027120 340036160 510054240 1020108480