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100820340 = 22325560113
BaseRepresentation
bin1100000001001…
…10010101110100
321000201012111200
412000212111310
5201302222330
614000532500
72332646565
oct600462564
9230635450
10100820340
1151a018a5
1229921130
1317b7000a
14d56616c
158cb7a60
hex6026574

100820340 has 36 divisors (see below), whose sum is σ = 305822244. Its totient is φ = 26885376.

The previous prime is 100820323. The next prime is 100820341. The reversal of 100820340 is 43028001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18301284 + 82519056 = 4278^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100820341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279877 + ... + 280236.

Almost surely, 2100820340 is an apocalyptic number.

100820340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100820340 is an abundant number, since it is smaller than the sum of its proper divisors (205001904).

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

100820340 is a wasteful number, since it uses less digits than its factorization.

100820340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560128 (or 560123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100820340 is about 10040.9332235604. The cubic root of 100820340 is about 465.4246554283.

Adding to 100820340 its reverse (43028001), we get a palindrome (143848341).

The spelling of 100820340 in words is "one hundred million, eight hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 560113 1120226 1680339 2240452 2800565 3360678 5041017 5601130 6721356 8401695 10082034 11202260 16803390 20164068 25205085 33606780 50410170 100820340