Search a number
-
+
1220100 = 223527283
BaseRepresentation
bin100101001111000000100
32021222122220
410221320010
5303020400
642052340
713241100
oct4517004
92258586
101220100
11763752
124aa0b0
1333946b
1423a900
151917a0
hex129e04

1220100 has 108 divisors (see below), whose sum is σ = 4155984. Its totient is φ = 275520.

The previous prime is 1220099. The next prime is 1220147. The reversal of 1220100 is 10221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14659 + ... + 14741.

21220100 is an apocalyptic number.

1220100 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 1220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077992).

1220100 is an abundant number, since it is smaller than the sum of its proper divisors (2935884).

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

1220100 is a wasteful number, since it uses less digits than its factorization.

1220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1220100 is about 1104.5813686642. The cubic root of 1220100 is about 106.8558924153.

Adding to 1220100 its reverse (10221), we get a palindrome (1230321).

The spelling of 1220100 in words is "one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 83 84 98 100 105 140 147 150 166 175 196 210 245 249 294 300 332 350 415 420 490 498 525 581 588 700 735 830 980 996 1050 1162 1225 1245 1470 1660 1743 2075 2100 2324 2450 2490 2905 2940 3486 3675 4067 4150 4900 4980 5810 6225 6972 7350 8134 8300 8715 11620 12201 12450 14525 14700 16268 17430 20335 24402 24900 29050 34860 40670 43575 48804 58100 61005 81340 87150 101675 122010 174300 203350 244020 305025 406700 610050 1220100