Search a number
-
+
1080377900 = 225273149787
BaseRepresentation
bin100000001100101…
…0100001000101100
32210021220212212022
41000121110020230
54203034043100
6255112125312
735526026540
oct10031241054
92707825768
101080377900
115049329a8
12261996838
13142aa0584
14a36b1a20
1564cabe85
hex4065422c

1080377900 has 72 divisors (see below), whose sum is σ = 2765822976. Its totient is φ = 358459200.

The previous prime is 1080377899. The next prime is 1080377923. The reversal of 1080377900 is 97730801.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3194 + ... + 46593.

It is an arithmetic number, because the mean of its divisors is an integer number (38414208).

Almost surely, 21080377900 is an apocalyptic number.

1080377900 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 1080377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382911488).

1080377900 is an abundant number, since it is smaller than the sum of its proper divisors (1685445076).

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

1080377900 is a wasteful number, since it uses less digits than its factorization.

1080377900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49839 (or 49832 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 1080377900 is about 32869.1025128463. The cubic root of 1080377900 is about 1026.1052207014.

The spelling of 1080377900 in words is "one billion, eighty million, three hundred seventy-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 21700 49787 99574 199148 248935 348509 497870 697018 995740 1244675 1394036 1543397 1742545 2489350 3086794 3485090 4978700 6173588 6970180 7716985 8712725 10803779 15433970 17425450 21607558 30867940 34850900 38584925 43215116 54018895 77169850 108037790 154339700 216075580 270094475 540188950 1080377900