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100483680 = 25351119031
BaseRepresentation
bin1011111110101…
…00001001100000
321000002002200210
411333110021200
5201210434210
613545414120
72330045223
oct577241140
9230062623
10100483680
11517a1970
122979a340
1317a829cb
14d4b95ba
158c4ce20
hex5fd4260

100483680 has 96 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 24358400.

The previous prime is 100483639. The next prime is 100483687. The reversal of 100483680 is 86384001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100483687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2100483680 is an apocalyptic number.

100483680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100483680 is an abundant number, since it is smaller than the sum of its proper divisors (244832928).

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

100483680 is a wasteful number, since it uses less digits than its factorization.

100483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19060 (or 19052 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100483680 is about 10024.1548272161. The cubic root of 100483680 is about 464.9060279523.

The spelling of 100483680 in words is "one hundred million, four hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 19031 38062 57093 76124 95155 114186 152248 190310 209341 228372 285465 304496 380620 418682 456744 570930 608992 628023 761240 837364 913488 1046705 1141860 1256046 1522480 1674728 1826976 2093410 2283720 2512092 3044960 3140115 3349456 4186820 4567440 5024184 6280230 6698912 8373640 9134880 10048368 12560460 16747280 20096736 25120920 33494560 50241840 100483680