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100440284 = 22717792671
BaseRepresentation
bin1011111110010…
…01100011011100
320222222220011112
411333021203130
5201203042114
613544441152
72326504550
oct577114334
9228886145
10100440284
11517722aa
12297791b8
1317a69029
14d4a7860
158c4013e
hex5fc98dc

100440284 has 48 divisors (see below), whose sum is σ = 215470080. Its totient is φ = 39985920.

The previous prime is 100440239. The next prime is 100440323. The reversal of 100440284 is 482044001.

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, 36269 + ... + 38939.

It is an arithmetic number, because the mean of its divisors is an integer number (4488960).

Almost surely, 2100440284 is an apocalyptic number.

100440284 is a gapful number since it is divisible by the number (14) 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 100440284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107735040).

100440284 is an abundant number, since it is smaller than the sum of its proper divisors (115029796).

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

100440284 is a wasteful number, since it uses less digits than its factorization.

100440284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 100440284 is about 10021.9900219467. The cubic root of 100440284 is about 464.8390918189.

Adding to 100440284 its reverse (482044001), we get a palindrome (582484285).

The spelling of 100440284 in words is "one hundred million, four hundred forty thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 79 119 158 238 316 476 553 1106 1343 2212 2671 2686 5342 5372 9401 10684 18697 18802 37394 37604 45407 74788 90814 181628 211009 317849 422018 635698 844036 1271396 1477063 2954126 3587153 5908252 7174306 14348612 25110071 50220142 100440284