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145450100 = 225210114401
BaseRepresentation
bin10001010101101…
…10010001110100
3101010200122000202
420222312101310
5244213400400
622233300032
73414206525
oct1052662164
9333618022
10145450100
11751148a4
1240864618
1324197c63
141546284c
15cb814d5
hex8ab6474

145450100 has 36 divisors (see below), whose sum is σ = 318773868. Its totient is φ = 57600000.

The previous prime is 145450069. The next prime is 145450117. The reversal of 145450100 is 1054541.

It can be written as a sum of positive squares in 6 ways, for example, as 37871716 + 107578384 = 6154^2 + 10372^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2900 + ... + 17300.

Almost surely, 2145450100 is an apocalyptic number.

145450100 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 145450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159386934).

145450100 is an abundant number, since it is smaller than the sum of its proper divisors (173323768).

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

145450100 is a wasteful number, since it uses less digits than its factorization.

145450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 14509 counting only the distinct ones).

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

The square root of 145450100 is about 12060.2694828930. The cubic root of 145450100 is about 525.9018211319.

The spelling of 145450100 in words is "one hundred forty-five million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 14401 28802 57604 72005 144010 288020 360025 720050 1440100 1454501 2909002 5818004 7272505 14545010 29090020 36362525 72725050 145450100