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429100 = 22527613
BaseRepresentation
bin1101000110000101100
3210210121121
41220300230
5102212400
613110324
73435010
oct1506054
9723547
10429100
11273431
121883a4
13120409
14b2540
158721a
hex68c2c

429100 has 36 divisors (see below), whose sum is σ = 1065904. Its totient is φ = 146880.

The previous prime is 429083. The next prime is 429101. The reversal of 429100 is 1924.

It is not an unprimeable number, because it can be changed into a prime (429101) by changing a digit.

429100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394 + ... + 1006.

2429100 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 429100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532952).

429100 is an abundant number, since it is smaller than the sum of its proper divisors (636804).

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

429100 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 429100 = (120409)13.

429100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 429100 is about 655.0572494065. The cubic root of 429100 is about 75.4257269960.

It can be divided in two parts, 429 and 100, that added together give a square (529 = 232).

The spelling of 429100 in words is "four hundred twenty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 613 700 1226 2452 3065 4291 6130 8582 12260 15325 17164 21455 30650 42910 61300 85820 107275 214550 429100