Search a number
-
+
1120983228 = 2232374211999
BaseRepresentation
bin100001011010000…
…1101100010111100
32220010022211220100
41002310031202330
54243432430403
6303122321100
736531125451
oct10264154274
92803284810
101120983228
11525847322
122734b9190
1314b3197b1
14a8c41828
156862d2a3
hex42d0d8bc

1120983228 has 72 divisors (see below), whose sum is σ = 2918552000. Its totient is φ = 362517120.

The previous prime is 1120983221. The next prime is 1120983233. The reversal of 1120983228 is 8223890211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1120983192 and 1120983201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120983221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559773 + ... + 561771.

Almost surely, 21120983228 is an apocalyptic number.

1120983228 is a gapful number since it is divisible by the number (18) 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 1120983228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459276000).

1120983228 is an abundant number, since it is smaller than the sum of its proper divisors (1797568772).

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

1120983228 is a wasteful number, since it uses less digits than its factorization.

1120983228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1120983228 is about 33481.0876167427. The cubic root of 1120983228 is about 1038.8026246760.

It can be divided in two parts, 1120983 and 228, that added together give a palindrome (1121211).

The spelling of 1120983228 in words is "one billion, one hundred twenty million, nine hundred eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 421 444 666 842 1263 1332 1684 1999 2526 3789 3998 5052 5997 7578 7996 11994 15156 15577 17991 23988 31154 35982 46731 62308 71964 73963 93462 140193 147926 186924 221889 280386 295852 443778 560772 665667 841579 887556 1331334 1683158 2524737 2662668 3366316 5049474 7574211 10098948 15148422 30296844 31138423 62276846 93415269 124553692 186830538 280245807 373661076 560491614 1120983228