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23682420 = 22325413209
BaseRepresentation
bin101101001010…
…1110101110100
31122120012011200
41122111311310
522030314140
62203332500
7405203646
oct132256564
948505150
1023682420
1112405a53
127b21130
134ba2588
143206896
15212c030
hex1695d74

23682420 has 72 divisors (see below), whose sum is σ = 73611720. Its totient is φ = 6159360.

The previous prime is 23682413. The next prime is 23682431. The reversal of 23682420 is 2428632.

23682420 is a `hidden beast` number, since 236 + 8 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 23561316 = 348^2 + 4854^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5776 + ... + 8984.

It is an arithmetic number, because the mean of its divisors is an integer number (1022385).

Almost surely, 223682420 is an apocalyptic number.

23682420 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 23682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36805860).

23682420 is an abundant number, since it is smaller than the sum of its proper divisors (49929300).

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

23682420 is a wasteful number, since it uses less digits than its factorization.

23682420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23682420 is about 4866.4586713544. The cubic root of 23682420 is about 287.1719560195.

The spelling of 23682420 in words is "twenty-three million, six hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3209 3690 6418 7380 9627 12836 16045 19254 28881 32090 38508 48135 57762 64180 96270 115524 131569 144405 192540 263138 288810 394707 526276 577620 657845 789414 1184121 1315690 1578828 1973535 2368242 2631380 3947070 4736484 5920605 7894140 11841210 23682420