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23689120 = 2557131627
BaseRepresentation
bin101101001011…
…1011110100000
31122120112100211
41122113132200
522031022440
62203423504
7405232330
oct132273640
948515324
1023689120
111240aa94
127b24b94
134ba5640
1432090c0
15212deea
hex16977a0

23689120 has 96 divisors (see below), whose sum is σ = 68923008. Its totient is φ = 7492608.

The previous prime is 23689111. The next prime is 23689121. The reversal of 23689120 is 2198632.

It is a super-2 number, since 2×236891202 = 1122348812748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23689121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13747 + ... + 15373.

It is an arithmetic number, because the mean of its divisors is an integer number (717948).

Almost surely, 223689120 is an apocalyptic number.

23689120 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 23689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461504).

23689120 is an abundant number, since it is smaller than the sum of its proper divisors (45233888).

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

23689120 is a wasteful number, since it uses less digits than its factorization.

23689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 23689120 is about 4867.1470082585. The cubic root of 23689120 is about 287.1990347653.

The spelling of 23689120 in words is "twenty-three million, six hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1627 1820 2080 2912 3254 3640 6508 7280 8135 11389 13016 14560 16270 21151 22778 26032 32540 42302 45556 52064 56945 65080 84604 91112 105755 113890 130160 148057 169208 182224 211510 227780 260320 296114 338416 364448 423020 455560 592228 676832 740285 846040 911120 1184456 1480570 1692080 1822240 2368912 2961140 3384160 4737824 5922280 11844560 23689120