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100465000 = 235471283
BaseRepresentation
bin1011111110011…
…11100101101000
321000001011001221
411333033211220
5201204340000
613545151424
72326636606
oct577174550
9230034057
10100465000
1151789929
122978b574
1317a7735c
14d4b2876
158c4761a
hex5fcf968

100465000 has 80 divisors (see below), whose sum is σ = 239548320. Its totient is φ = 39480000.

The previous prime is 100464971. The next prime is 100465007. The reversal of 100465000 is 564001.

It is not an unprimeable number, because it can be changed into a prime (100465007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 354859 + ... + 355141.

It is an arithmetic number, because the mean of its divisors is an integer number (2994354).

Almost surely, 2100465000 is an apocalyptic number.

100465000 is a gapful number since it is divisible by the number (10) 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 100465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119774160).

100465000 is an abundant number, since it is smaller than the sum of its proper divisors (139083320).

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

100465000 is an equidigital number, since it uses as much as digits as its factorization.

100465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100465000 is about 10023.2230345334. The cubic root of 100465000 is about 464.8772173607.

Subtracting from 100465000 its reverse (564001), we obtain a palindrome (99900999).

The spelling of 100465000 in words is "one hundred million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 283 284 355 500 566 568 625 710 1000 1132 1250 1415 1420 1775 2264 2500 2830 2840 3550 5000 5660 7075 7100 8875 11320 14150 14200 17750 20093 28300 35375 35500 40186 44375 56600 70750 71000 80372 88750 100465 141500 160744 176875 177500 200930 283000 353750 355000 401860 502325 707500 803720 1004650 1415000 2009300 2511625 4018600 5023250 10046500 12558125 20093000 25116250 50232500 100465000