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23683440 = 2435118971
BaseRepresentation
bin101101001011…
…0000101110000
31122120020120110
41122112011300
522030332230
62203341320
7405206634
oct132260560
948506513
1023683440
11124067a0
127b21840
134ba2b91
143206dc4
15212c4b0
hex1696170

23683440 has 80 divisors (see below), whose sum is σ = 80102016. Its totient is φ = 5740800.

The previous prime is 23683417. The next prime is 23683447. The reversal of 23683440 is 4438632.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 23683398 and 23683407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23683447) by changing a digit.

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, 1846 + ... + 7125.

Almost surely, 223683440 is an apocalyptic number.

23683440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23683440 is an abundant number, since it is smaller than the sum of its proper divisors (56418576).

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

23683440 is a wasteful number, since it uses less digits than its factorization.

23683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23683440 is about 4866.5634692255. The cubic root of 23683440 is about 287.1760787850.

The spelling of 23683440 in words is "twenty-three million, six hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8971 17942 26913 35884 44855 53826 71768 89710 98681 107652 134565 143536 179420 197362 215304 269130 296043 358840 394724 430608 493405 538260 592086 717680 789448 986810 1076520 1184172 1480215 1578896 1973620 2153040 2368344 2960430 3947240 4736688 5920860 7894480 11841720 23683440