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14455100 = 22521117773
BaseRepresentation
bin110111001001…
…000100111100
31000012101200002
4313021010330
512200030400
61233453432
7233603102
oct67110474
930171602
1014455100
118183370
124a11278
132cc161a
141cc3c72
151407ed5
hexdc913c

14455100 has 72 divisors (see below), whose sum is σ = 36278928. Its totient is φ = 4940800.

The previous prime is 14455093. The next prime is 14455141. The reversal of 14455100 is 155441.

14455100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18314 + ... + 19086.

It is an arithmetic number, because the mean of its divisors is an integer number (503874).

Almost surely, 214455100 is an apocalyptic number.

14455100 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 14455100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464).

14455100 is an abundant number, since it is smaller than the sum of its proper divisors (21823828).

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

14455100 is a wasteful number, since it uses less digits than its factorization.

14455100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 14455100 is about 3801.9863229633. The cubic root of 14455100 is about 243.5979898148.

The spelling of 14455100 in words is "fourteen million, four hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 773 850 935 1100 1546 1700 1870 3092 3740 3865 4675 7730 8503 9350 13141 15460 17006 18700 19325 26282 34012 38650 42515 52564 65705 77300 85030 131410 144551 170060 212575 262820 289102 328525 425150 578204 657050 722755 850300 1314100 1445510 2891020 3613775 7227550 14455100