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23684940 = 22335231907
BaseRepresentation
bin101101001011…
…0011101001100
31122120022122000
41122112131030
522030404230
62203352300
7405214206
oct132263514
948508560
1023684940
1112407934
127b22690
134ba3776
143207776
15212cb60
hex169674c

23684940 has 96 divisors (see below), whose sum is σ = 76930560. Its totient is φ = 6038208.

The previous prime is 23684929. The next prime is 23684977. The reversal of 23684940 is 4948632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23684895 and 23684904.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11467 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 223684940 is an apocalyptic number.

23684940 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 23684940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

23684940 is an abundant number, since it is smaller than the sum of its proper divisors (53245620).

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

23684940 is a wasteful number, since it uses less digits than its factorization.

23684940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23684940 is about 4866.7175796424. The cubic root of 23684940 is about 287.1821414603.

The spelling of 23684940 in words is "twenty-three million, six hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 1907 2070 2484 3105 3814 4140 5721 6210 7628 9535 11442 12420 17163 19070 22884 28605 34326 38140 43861 51489 57210 68652 85815 87722 102978 114420 131583 171630 175444 205956 219305 257445 263166 343260 394749 438610 514890 526332 657915 789498 877220 1029780 1184247 1315830 1578996 1973745 2368494 2631660 3947490 4736988 5921235 7894980 11842470 23684940