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640100 = 225237173
BaseRepresentation
bin10011100010001100100
31012112001102
42130101210
5130440400
621415232
75304116
oct2342144
91175042
10640100
113a7a0a
1226a518
13195476
141293b6
15c99d5
hex9c464

640100 has 36 divisors (see below), whose sum is σ = 1434804. Its totient is φ = 247680.

The previous prime is 640099. The next prime is 640109. The reversal of 640100 is 1046.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 574564 = 256^2 + 758^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (640109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3614 + ... + 3786.

2640100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717402).

640100 is an abundant number, since it is smaller than the sum of its proper divisors (794704).

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

640100 is a wasteful number, since it uses less digits than its factorization.

640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 640100 is about 800.0624975588. The cubic root of 640100 is about 86.1818757731.

Adding to 640100 its reverse (1046), we get a palindrome (641146).

The spelling of 640100 in words is "six hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 173 185 346 370 692 740 865 925 1730 1850 3460 3700 4325 6401 8650 12802 17300 25604 32005 64010 128020 160025 320050 640100