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100204320 = 2535208759
BaseRepresentation
bin1011111100011…
…11111100100000
320222112220111010
411332033330200
5201123014240
613535420520
72324502606
oct576177440
9228486433
10100204320
1151620a97
1229684740
13179b57c8
14d445876
158be5280
hex5f8ff20

100204320 has 48 divisors (see below), whose sum is σ = 315645120. Its totient is φ = 26721024.

The previous prime is 100204303. The next prime is 100204327. The reversal of 100204320 is 23402001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100204296 and 100204305.

It is not an unprimeable number, because it can be changed into a prime (100204327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103900 + ... + 104859.

It is an arithmetic number, because the mean of its divisors is an integer number (6575940).

Almost surely, 2100204320 is an apocalyptic number.

100204320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100204320 is an abundant number, since it is smaller than the sum of its proper divisors (215440800).

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

100204320 is a wasteful number, since it uses less digits than its factorization.

100204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208777 (or 208769 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100204320 is about 10010.2107869915. The cubic root of 100204320 is about 464.4747914479.

Adding to 100204320 its reverse (23402001), we get a palindrome (123606321).

The spelling of 100204320 in words is "one hundred million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 208759 417518 626277 835036 1043795 1252554 1670072 2087590 2505108 3131385 3340144 4175180 5010216 6262770 6680288 8350360 10020432 12525540 16700720 20040864 25051080 33401440 50102160 100204320