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5429700 = 2233522011
BaseRepresentation
bin10100101101100111000100
3101012212011000
4110231213010
52342222300
6312213300
764103013
oct24554704
911185130
105429700
113079461
12199a230
131181553
14a14a7a
15723c00
hex52d9c4

5429700 has 72 divisors (see below), whose sum is σ = 17464160. Its totient is φ = 1447200.

The previous prime is 5429657. The next prime is 5429701. The reversal of 5429700 is 79245.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5429701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 3705.

Almost surely, 25429700 is an apocalyptic number.

5429700 is a gapful number since it is divisible by the number (50) 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 5429700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732080).

5429700 is an abundant number, since it is smaller than the sum of its proper divisors (12034460).

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

5429700 is a wasteful number, since it uses less digits than its factorization.

5429700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5429700 is about 2330.1716674958. The cubic root of 5429700 is about 175.7621183623.

The spelling of 5429700 in words is "five million, four hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2011 2700 4022 6033 8044 10055 12066 18099 20110 24132 30165 36198 40220 50275 54297 60330 72396 90495 100550 108594 120660 150825 180990 201100 217188 271485 301650 361980 452475 542970 603300 904950 1085940 1357425 1809900 2714850 5429700