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23429100 = 22352292693
BaseRepresentation
bin101100101011…
…1111111101100
31122002022200110
41121113333230
521444212400
62154100020
7403100262
oct131277754
948068613
1023429100
11122526a2
127a1a610
134b14196
14317c432
1520cbe50
hex1657fec

23429100 has 72 divisors (see below), whose sum is σ = 70151760. Its totient is φ = 6030080.

The previous prime is 23429069. The next prime is 23429113. The reversal of 23429100 is 192432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7354 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (974330).

Almost surely, 223429100 is an apocalyptic number.

23429100 is a gapful number since it is divisible by the number (20) 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 23429100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35075880).

23429100 is an abundant number, since it is smaller than the sum of its proper divisors (46722660).

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

23429100 is a wasteful number, since it uses less digits than its factorization.

23429100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 23429100 is about 4840.3615567435. The cubic root of 23429100 is about 286.1443677544.

The spelling of 23429100 in words is "twenty-three million, four hundred twenty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2693 2900 4350 5386 8079 8700 10772 13465 16158 26930 32316 40395 53860 67325 78097 80790 134650 156194 161580 201975 234291 269300 312388 390485 403950 468582 780970 807900 937164 1171455 1561940 1952425 2342910 3904850 4685820 5857275 7809700 11714550 23429100