Search a number
-
+
1111920020 = 2251710331751
BaseRepresentation
bin100001001000110…
…1000110110010100
32212111021101111222
41002101220312110
54234122420040
6302200145512
736361110221
oct10221506624
92774241458
101111920020
11520716a72
12270468298
13149495453
14a7962948
156793cbb5
hex42468d94

1111920020 has 48 divisors (see below), whose sum is σ = 2496469248. Its totient is φ = 414528000.

The previous prime is 1111920011. The next prime is 1111920133. The reversal of 1111920020 is 200291111.

It is a super-2 number, since 2×11119200202 = 2472732261753600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19145 + ... + 50895.

It is an arithmetic number, because the mean of its divisors is an integer number (52009776).

Almost surely, 21111920020 is an apocalyptic number.

1111920020 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 1111920020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248234624).

1111920020 is an abundant number, since it is smaller than the sum of its proper divisors (1384549228).

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

1111920020 is a wasteful number, since it uses less digits than its factorization.

1111920020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31880 (or 31878 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1111920020 is about 33345.4647590943. The cubic root of 1111920020 is about 1035.9954544803.

The spelling of 1111920020 in words is "one billion, one hundred eleven million, nine hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 7004 8755 17510 31751 35020 63502 127004 158755 317510 539767 635020 1079534 2159068 2698835 3270353 5397670 6540706 10795340 13081412 16351765 32703530 55596001 65407060 111192002 222384004 277980005 555960010 1111920020