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100090620 = 22335726479
BaseRepresentation
bin1011111011101…
…00001011111100
320222100010112000
411331310023330
5201110344440
613533142300
72323520250
oct575641374
9228303460
10100090620
1151553623
122962a990
1317975b26
14d416260
158bc1730
hex5f742fc

100090620 has 96 divisors (see below), whose sum is σ = 355891200. Its totient is φ = 22876992.

The previous prime is 100090597. The next prime is 100090637. The reversal of 100090620 is 26090001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100090593 and 100090602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9460 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (3707200).

Almost surely, 2100090620 is an apocalyptic number.

100090620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100090620 is an abundant number, since it is smaller than the sum of its proper divisors (255800580).

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

100090620 is a wasteful number, since it uses less digits than its factorization.

100090620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26504 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100090620 is about 10004.5299739668. The cubic root of 100090620 is about 464.2990479574.

The spelling of 100090620 in words is "one hundred million, ninety thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26479 52958 79437 105916 132395 158874 185353 238311 264790 317748 370706 397185 476622 529580 556059 714933 741412 794370 926765 953244 1112118 1191555 1429866 1588740 1668177 1853530 2224236 2383110 2780295 2859732 3336354 3574665 3707060 4766220 5004531 5560590 6672708 7149330 8340885 10009062 11121180 14298660 16681770 20018124 25022655 33363540 50045310 100090620