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23528280 = 2335296761
BaseRepresentation
bin101100111000…
…0001101011000
31122021100201210
41121300031120
522010401110
62200143120
7403662366
oct131601530
948240653
1023528280
1112310166
127a67aa0
134b4a379
1431a6636
1520eb520
hex1670358

23528280 has 64 divisors (see below), whose sum is σ = 73029600. Its totient is φ = 6056960.

The previous prime is 23528279. The next prime is 23528293. The reversal of 23528280 is 8282532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100 + ... + 6860.

Almost surely, 223528280 is an apocalyptic number.

23528280 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 23528280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514800).

23528280 is an abundant number, since it is smaller than the sum of its proper divisors (49501320).

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

23528280 is a wasteful number, since it uses less digits than its factorization.

23528280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 23528280 is about 4850.5958396882. The cubic root of 23528280 is about 286.5475678566.

The spelling of 23528280 in words is "twenty-three million, five hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 6761 13522 20283 27044 33805 40566 54088 67610 81132 101415 135220 162264 196069 202830 270440 392138 405660 588207 784276 811320 980345 1176414 1568552 1960690 2352828 2941035 3921380 4705656 5882070 7842760 11764140 23528280