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100427500 = 2254172139
BaseRepresentation
bin1011111110001…
…10011011101100
320222222020122001
411333012123230
5201202140000
613544302044
72326422355
oct577063354
9228866561
10100427500
1151763738
1229771924
1317a63274
14d4a2d2c
158c3b46a
hex5fc66ec

100427500 has 90 divisors (see below), whose sum is σ = 234971660. Its totient is φ = 37536000.

The previous prime is 100427497. The next prime is 100427501. The reversal of 100427500 is 5724001.

It is not an unprimeable number, because it can be changed into a prime (100427501) 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 29 ways as a sum of consecutive naturals, for example, 722431 + ... + 722569.

Almost surely, 2100427500 is an apocalyptic number.

100427500 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 100427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117485830).

100427500 is an abundant number, since it is smaller than the sum of its proper divisors (134544160).

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

100427500 is a wasteful number, since it uses less digits than its factorization.

100427500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 100427500 is about 10021.3522041689. The cubic root of 100427500 is about 464.8193694696.

The spelling of 100427500 in words is "one hundred million, four hundred twenty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 139 170 250 278 289 340 425 500 556 578 625 695 850 1156 1250 1390 1445 1700 2125 2363 2500 2780 2890 3475 4250 4726 5780 6950 7225 8500 9452 10625 11815 13900 14450 17375 21250 23630 28900 34750 36125 40171 42500 47260 59075 69500 72250 80342 86875 118150 144500 160684 173750 180625 200855 236300 295375 347500 361250 401710 590750 722500 803420 1004275 1181500 1476875 2008550 2953750 4017100 5021375 5907500 10042750 20085500 25106875 50213750 100427500