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23428600 = 2352139011
BaseRepresentation
bin101100101011…
…1110111111000
31122002021222221
41121113313320
521444203400
62154053424
7403065646
oct131276770
948067887
1023428600
1112252288
127a1a274
134b13ba0
14317c196
1520cbc1a
hex1657df8

23428600 has 48 divisors (see below), whose sum is σ = 58668120. Its totient is φ = 8649600.

The previous prime is 23428583. The next prime is 23428609. The reversal of 23428600 is 682432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428609) 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, 1906 + ... + 7105.

Almost surely, 223428600 is an apocalyptic number.

23428600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23428600 is an abundant number, since it is smaller than the sum of its proper divisors (35239520).

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

23428600 is a wasteful number, since it uses less digits than its factorization.

23428600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23428600 is about 4840.3099074336. The cubic root of 23428600 is about 286.1423322060.

The spelling of 23428600 in words is "twenty-three million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 9011 18022 36044 45055 72088 90110 117143 180220 225275 234286 360440 450550 468572 585715 901100 937144 1171430 1802200 2342860 2928575 4685720 5857150 11714300 23428600